Rushall, Jeff; Sima, Justin; Waechter, Riley On constructing Greek ladders to approximate any real algebraic number. (English) Zbl 1499.97001 Int. J. Math. Educ. Sci. Technol. 53, No. 10, 2819-2830 (2022). MSC: 97F60 97H60 15A18 11J68 PDFBibTeX XMLCite \textit{J. Rushall} et al., Int. J. Math. Educ. Sci. Technol. 53, No. 10, 2819--2830 (2022; Zbl 1499.97001) Full Text: DOI
Pujol, Jose The linear combination of vectors implies the existence of the cross and dot products. (English) Zbl 1475.97024 Int. J. Math. Educ. Sci. Technol. 49, No. 5, 778-792 (2018). MSC: 97H60 15A99 15-03 01A55 PDFBibTeX XMLCite \textit{J. Pujol}, Int. J. Math. Educ. Sci. Technol. 49, No. 5, 778--792 (2018; Zbl 1475.97024) Full Text: DOI
Caglayan, Günhan Visualizing the inner product space \(\mathbb{R}^{m \times n}\) in a MATLAB-assisted linear algebra classroom. (English) Zbl 1475.97023 Int. J. Math. Educ. Sci. Technol. 49, No. 4, 616-628 (2018). MSC: 97H60 15A63 PDFBibTeX XMLCite \textit{G. Caglayan}, Int. J. Math. Educ. Sci. Technol. 49, No. 4, 616--628 (2018; Zbl 1475.97023) Full Text: DOI
Akhtyamov, Azamat; Amram, Meirav; Mouftakhov, Artour On reconstruction of a matrix by its minors. (English) Zbl 1397.97019 Int. J. Math. Educ. Sci. Technol. 49, No. 2, 268-281 (2018). MSC: 97H60 15A06 PDFBibTeX XMLCite \textit{A. Akhtyamov} et al., Int. J. Math. Educ. Sci. Technol. 49, No. 2, 268--281 (2018; Zbl 1397.97019) Full Text: DOI
Trenkler, Götz; Trenkler, Dietrich Intersection of three planes revisited – an algebraic approach. (English) Zbl 1396.97015 Int. J. Math. Educ. Sci. Technol. 48, No. 2, 285-289 (2017). MSC: 97G70 51N20 15A09 PDFBibTeX XMLCite \textit{G. Trenkler} and \textit{D. Trenkler}, Int. J. Math. Educ. Sci. Technol. 48, No. 2, 285--289 (2017; Zbl 1396.97015) Full Text: DOI
Orosi, Greg Linear algebra-based solution of the gambler’s ruin problem. (English) Zbl 1396.97024 Int. J. Math. Educ. Sci. Technol. 48, No. 1, 107-111 (2017). MSC: 97K50 60G50 15A18 PDFBibTeX XMLCite \textit{G. Orosi}, Int. J. Math. Educ. Sci. Technol. 48, No. 1, 107--111 (2017; Zbl 1396.97024) Full Text: DOI
Orosi, Greg The arithmetico-geometric sequence: an application of linear algebra. (English) Zbl 1343.97006 Int. J. Math. Educ. Sci. Technol. 47, No. 5, 766-772 (2016). MSC: 97H60 97I30 15A18 40A05 PDFBibTeX XMLCite \textit{G. Orosi}, Int. J. Math. Educ. Sci. Technol. 47, No. 5, 766--772 (2016; Zbl 1343.97006) Full Text: DOI
Withers, Christopher S.; Nadarajah, Saralees A trigonometric identity for \(2\times 2\) block matrices. (English) Zbl 1337.97010 Int. J. Math. Educ. Sci. Technol. 46, No. 6, 921-925 (2015). MSC: 97H60 15A16 PDFBibTeX XMLCite \textit{C. S. Withers} and \textit{S. Nadarajah}, Int. J. Math. Educ. Sci. Technol. 46, No. 6, 921--925 (2015; Zbl 1337.97010) Full Text: DOI
Sharma, Ramesh; Pariso, Chris; Duda, Michelle Remarks on a one-parameter family of singular matrices. (English) Zbl 1317.97005 Int. J. Math. Educ. Sci. Technol. 46, No. 1, 156-158 (2015). MSC: 97H60 15A30 PDFBibTeX XMLCite \textit{R. Sharma} et al., Int. J. Math. Educ. Sci. Technol. 46, No. 1, 156--158 (2015; Zbl 1317.97005) Full Text: DOI
Jain, Nitin A.; Murthy, Kushal D.; Hamsapriye Matrix methods for finding \(\root n \of {m^u}\). (English) Zbl 1314.97012 Int. J. Math. Educ. Sci. Technol. 45, No. 5, 754-762 (2014). MSC: 97N50 97H60 65D20 15A99 PDFBibTeX XMLCite \textit{N. A. Jain} et al., Int. J. Math. Educ. Sci. Technol. 45, No. 5, 754--762 (2014; Zbl 1314.97012) Full Text: DOI
Debnath, L. The modern origin of matrices and their applications. (English) Zbl 1296.97013 Int. J. Math. Educ. Sci. Technol. 45, No. 4, 528-551 (2014). MSC: 97H60 15-03 01A05 97M50 97I70 PDFBibTeX XMLCite \textit{L. Debnath}, Int. J. Math. Educ. Sci. Technol. 45, No. 4, 528--551 (2014; Zbl 1296.97013) Full Text: DOI
Debnath, L. A brief historical introduction to matrices and their applications. (English) Zbl 1296.97012 Int. J. Math. Educ. Sci. Technol. 45, No. 3, 360-377 (2014). MSC: 97H60 97A30 97K20 97K30 15-03 01A05 PDFBibTeX XMLCite \textit{L. Debnath}, Int. J. Math. Educ. Sci. Technol. 45, No. 3, 360--377 (2014; Zbl 1296.97012) Full Text: DOI
Trenkler, Götz; Schmidt, Karsten; Trenkler, Dietrich Polar and singular value decomposition of \(3\times 3\) magic squares. (English) Zbl 1293.97048 Int. J. Math. Educ. Sci. Technol. 44, No. 5, 774-777 (2013). MSC: 97H60 97K20 15A23 05B15 PDFBibTeX XMLCite \textit{G. Trenkler} et al., Int. J. Math. Educ. Sci. Technol. 44, No. 5, 774--777 (2013; Zbl 1293.97048) Full Text: DOI
Dobbs, David E. An elementary proof of a criterion for linear disjointness. (English) Zbl 1293.97047 Int. J. Math. Educ. Sci. Technol. 44, No. 4, 614-617 (2013). MSC: 97H60 97H40 15A03 11F99 PDFBibTeX XMLCite \textit{D. E. Dobbs}, Int. J. Math. Educ. Sci. Technol. 44, No. 4, 614--617 (2013; Zbl 1293.97047) Full Text: DOI
Debnath, L. A brief historical introduction to determinants with applications. (English) Zbl 1291.15001 Int. J. Math. Educ. Sci. Technol. 44, No. 3, 388-407 (2013). MSC: 15-03 01A05 15A15 15A18 97H60 PDFBibTeX XMLCite \textit{L. Debnath}, Int. J. Math. Educ. Sci. Technol. 44, No. 3, 388--407 (2013; Zbl 1291.15001) Full Text: DOI
Dobbs, David E. On rank and nullity. (English) Zbl 1273.97032 Int. J. Math. Educ. Sci. Technol. 43, No. 2, 271-283 (2012). MSC: 97H60 15A06 15A03 PDFBibTeX XMLCite \textit{D. E. Dobbs}, Int. J. Math. Educ. Sci. Technol. 43, No. 2, 271--283 (2012; Zbl 1273.97032) Full Text: DOI
Trenkler, Götz; Schmidt, Karsten; Trenkler, Dietrich A simple parameterization of \(3\times 3\) magic squares. (English) Zbl 1273.97052 Int. J. Math. Educ. Sci. Technol. 43, No. 1, 128-133 (2012). MSC: 97K20 97H60 05B15 15B36 PDFBibTeX XMLCite \textit{G. Trenkler} et al., Int. J. Math. Educ. Sci. Technol. 43, No. 1, 128--133 (2012; Zbl 1273.97052) Full Text: DOI
Cherif, Chokri; Goldstein, Avraham; Prado, Lucio M. G. Stability of linear equations – algebraic approach. (English) Zbl 1273.97031 Int. J. Math. Educ. Sci. Technol. 43, No. 1, 118-127 (2012). MSC: 97H60 15A06 PDFBibTeX XMLCite \textit{C. Cherif} et al., Int. J. Math. Educ. Sci. Technol. 43, No. 1, 118--127 (2012; Zbl 1273.97031) Full Text: DOI
Withers, Christopher S.; Nadarajah, Saralees \(\log\det A =\mathrm{tr}\log A\). (English) Zbl 1292.97035 Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1121-1124 (2010). MSC: 97H60 15A24 15A15 PDFBibTeX XMLCite \textit{C. S. Withers} and \textit{S. Nadarajah}, Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1121--1124 (2010; Zbl 1292.97035) Full Text: DOI
Stuart, Jeffrey Building generalized inverses of matrices using only row and column operations. (English) Zbl 1292.97034 Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1102-1113 (2010). MSC: 97H60 15A09 PDFBibTeX XMLCite \textit{J. Stuart}, Int. J. Math. Educ. Sci. Technol. 41, No. 8, 1102--1113 (2010; Zbl 1292.97034) Full Text: DOI
Baksalary, Oskar Maria; Trenkler, Götz Eigenspaces of the proper rotation matrices. (English) Zbl 1292.97033 Int. J. Math. Educ. Sci. Technol. 41, No. 6, 827-829 (2010). MSC: 97H60 15B57 15A18 PDFBibTeX XMLCite \textit{O. M. Baksalary} and \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 41, No. 6, 827--829 (2010; Zbl 1292.97033) Full Text: DOI
Aminu, Abdulhadi An example of linear mappings: extension to rhotrices. (English) Zbl 1292.97032 Int. J. Math. Educ. Sci. Technol. 41, No. 5, 691-698 (2010). MSC: 97H60 15A99 PDFBibTeX XMLCite \textit{A. Aminu}, Int. J. Math. Educ. Sci. Technol. 41, No. 5, 691--698 (2010; Zbl 1292.97032) Full Text: DOI
Aminu, Abdulhadi Rhotrix vector spaces. (English) Zbl 1292.97031 Int. J. Math. Educ. Sci. Technol. 41, No. 4, 531-537 (2010). MSC: 97H60 15A99 PDFBibTeX XMLCite \textit{A. Aminu}, Int. J. Math. Educ. Sci. Technol. 41, No. 4, 531--537 (2010; Zbl 1292.97031) Full Text: DOI
Keskin, Refik; Demirtürk, Bahar Some new Fibonacci and Lucas identities by matrix methods. (English) Zbl 1292.97020 Int. J. Math. Educ. Sci. Technol. 41, No. 3, 379-387 (2010). MSC: 97F60 97H60 11B39 15A24 PDFBibTeX XMLCite \textit{R. Keskin} and \textit{B. Demirtürk}, Int. J. Math. Educ. Sci. Technol. 41, No. 3, 379--387 (2010; Zbl 1292.97020) Full Text: DOI
Aminu, Abdulhadi The equation \(R_nx=b\) over rhotrices. (English) Zbl 1292.97030 Int. J. Math. Educ. Sci. Technol. 41, No. 1, 98-105 (2010). MSC: 97H60 15A99 PDFBibTeX XMLCite \textit{A. Aminu}, Int. J. Math. Educ. Sci. Technol. 41, No. 1, 98--105 (2010; Zbl 1292.97030) Full Text: DOI
Glaister, P. Diagonalization and Jordan normal form – motivation through Maple\(^\circledR\). (English) Zbl 1297.97017 Int. J. Math. Educ. Sci. Technol. 40, No. 5, 705-712 (2009). MSC: 97H60 15A21 PDFBibTeX XMLCite \textit{P. Glaister}, Int. J. Math. Educ. Sci. Technol. 40, No. 5, 705--712 (2009; Zbl 1297.97017) Full Text: DOI
Glaister, P. Systems of differential equations with skew-symmetric, orthogonal matrices. (English) Zbl 1474.97037 Int. J. Math. Educ. Sci. Technol. 39, No. 3, 410-418 (2008). MSC: 97I70 97H60 34A05 15B57 34A30 PDFBibTeX XMLCite \textit{P. Glaister}, Int. J. Math. Educ. Sci. Technol. 39, No. 3, 410--418 (2008; Zbl 1474.97037) Full Text: DOI
Sani, B. Conversion of a rhotrix to a ‘coupled matrix’. (English) Zbl 1474.97021 Int. J. Math. Educ. Sci. Technol. 39, No. 2, 244-249 (2008). MSC: 97H60 15A99 PDFBibTeX XMLCite \textit{B. Sani}, Int. J. Math. Educ. Sci. Technol. 39, No. 2, 244--249 (2008; Zbl 1474.97021) Full Text: DOI
Trenkler, G.; Trenkler, D. On the product of rotations. (English) Zbl 1474.97022 Int. J. Math. Educ. Sci. Technol. 39, No. 1, 94-104 (2008). MSC: 97H60 15A99 PDFBibTeX XMLCite \textit{G. Trenkler} and \textit{D. Trenkler}, Int. J. Math. Educ. Sci. Technol. 39, No. 1, 94--104 (2008; Zbl 1474.97022) Full Text: DOI
Tian, Yongge The equivalence between \((AB)^\dagger=B^\dagger{}A^\dagger\) and other mixed-type reverse-order laws. (English) Zbl 1274.15019 Int. J. Math. Educ. Sci. Technol. 37, No. 3, 331-339 (2006). MSC: 15A09 PDFBibTeX XMLCite \textit{Y. Tian}, Int. J. Math. Educ. Sci. Technol. 37, No. 3, 331--339 (2006; Zbl 1274.15019) Full Text: DOI
Ajibade, A. O. The concept of rhotrix in mathematical enrichment. (English) Zbl 1269.15004 Int. J. Math. Educ. Sci. Technol. 34, No. 2, 175-179 (2003). MSC: 15A15 97H60 PDFBibTeX XMLCite \textit{A. O. Ajibade}, Int. J. Math. Educ. Sci. Technol. 34, No. 2, 175--179 (2003; Zbl 1269.15004) Full Text: DOI
Trenkler, Götz The Moore-Penrose inverse and the vector product. (English) Zbl 1012.15004 Int. J. Math. Educ. Sci. Technol. 33, No. 3, 431-436 (2002). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15A09 PDFBibTeX XMLCite \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 33, No. 3, 431--436 (2002; Zbl 1012.15004) Full Text: DOI
Pollock, D. S. G. Circulant matrices and time-series analysis. (English) Zbl 1002.62070 Int. J. Math. Educ. Sci. Technol. 33, No. 2, 213-230 (2002). MSC: 62M15 15A99 62M10 PDFBibTeX XMLCite \textit{D. S. G. Pollock}, Int. J. Math. Educ. Sci. Technol. 33, No. 2, 213--230 (2002; Zbl 1002.62070) Full Text: DOI Link
Tian, Yongge; Styan, George P. H. When does \(\text{rank}(ABC)=\text{rank}(AB)+\text{rank}(BC)-\text{rank}(B)\) hold? (English) Zbl 1015.15001 Int. J. Math. Educ. Sci. Technol. 33, No. 1, 127-137 (2002). Reviewer: Rabe von Randow (Bonn) MSC: 15A03 PDFBibTeX XMLCite \textit{Y. Tian} and \textit{G. P. H. Styan}, Int. J. Math. Educ. Sci. Technol. 33, No. 1, 127--137 (2002; Zbl 1015.15001) Full Text: DOI
DeAlba, Luz Maria Cubic polynomials, their roots and the Perron-Frobenius theorem. (English) Zbl 1006.26009 Int. J. Math. Educ. Sci. Technol. 33, No. 1, 96-111 (2002). MSC: 26C10 15A18 PDFBibTeX XMLCite \textit{L. M. DeAlba}, Int. J. Math. Educ. Sci. Technol. 33, No. 1, 96--111 (2002; Zbl 1006.26009) Full Text: DOI
Schmidt, Karsten; Trenkler, Götz The Moore-Penrose inverse of a semi-magic square is semi-magic. (English) Zbl 1012.15005 Int. J. Math. Educ. Sci. Technol. 32, No. 4, 624-629 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15A09 05B15 PDFBibTeX XMLCite \textit{K. Schmidt} and \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 32, No. 4, 624--629 (2001; Zbl 1012.15005)
Falcon, Sergio A new class of vector spaces. (English) Zbl 1012.15002 Int. J. Math. Educ. Sci. Technol. 32, No. 4, 611-624 (2001). Reviewer: Peter Reichensperger (Oberasbach) MSC: 15A03 15A04 PDFBibTeX XMLCite \textit{S. Falcon}, Int. J. Math. Educ. Sci. Technol. 32, No. 4, 611--624 (2001; Zbl 1012.15002) Full Text: DOI
Bai, Zhenlan; Xia, Shengxiang Study of the cardinalities of linear spaces. (English) Zbl 1005.03516 Int. J. Math. Educ. Sci. Technol. 32, No. 1, 146-148 (2001). MSC: 03E10 15A03 03E50 PDFBibTeX XMLCite \textit{Z. Bai} and \textit{S. Xia}, Int. J. Math. Educ. Sci. Technol. 32, No. 1, 146--148 (2001; Zbl 1005.03516) Full Text: DOI
Kagan, Abram; Smith, Paul J. Multivariate normal distributions, Fisher information and matrix inequalities. (English) Zbl 1002.62037 Int. J. Math. Educ. Sci. Technol. 32, No. 1, 91-96 (2001). MSC: 62H05 62B05 15A45 PDFBibTeX XMLCite \textit{A. Kagan} and \textit{P. J. Smith}, Int. J. Math. Educ. Sci. Technol. 32, No. 1, 91--96 (2001; Zbl 1002.62037) Full Text: DOI
Deshpande, M. N. An interesting result on Pythagorean triplets. (English) Zbl 1018.15011 Int. J. Math. Educ. Sci. Technol. 31, No. 5, 796-797 (2000). MSC: 15B36 15B48 PDFBibTeX XMLCite \textit{M. N. Deshpande}, Int. J. Math. Educ. Sci. Technol. 31, No. 5, 796--797 (2000; Zbl 1018.15011) Full Text: DOI
Ward, A. J. B.; Gerrish, F. A constructive proof by elementary transformations of Roth’s removal theorems in the theory of matrix equations. (English) Zbl 1025.15023 Int. J. Math. Educ. Sci. Technol. 31, No. 3, 425-429 (2000). MSC: 15A24 PDFBibTeX XMLCite \textit{A. J. B. Ward} and \textit{F. Gerrish}, Int. J. Math. Educ. Sci. Technol. 31, No. 3, 425--429 (2000; Zbl 1025.15023) Full Text: DOI
Gross, J.; Troschke, S.-O.; Trenkler, G. On properties of \(3\times 3\) semi-magic squares. (English) Zbl 1017.05028 Int. J. Math. Educ. Sci. Technol. 30, No. 6, 861-865 (1999). MSC: 05B15 05B20 15A18 15A29 PDFBibTeX XMLCite \textit{J. Gross} et al., Int. J. Math. Educ. Sci. Technol. 30, No. 6, 861--865 (1999; Zbl 1017.05028) Full Text: DOI
Ghouraba, F. A. A.; Seoud, M. A. Set matrices. (English) Zbl 1018.15010 Int. J. Math. Educ. Sci. Technol. 30, No. 5, 651-659 (1999). MSC: 15A30 03E20 PDFBibTeX XMLCite \textit{F. A. A. Ghouraba} and \textit{M. A. Seoud}, Int. J. Math. Educ. Sci. Technol. 30, No. 5, 651--659 (1999; Zbl 1018.15010) Full Text: DOI
Gross, Jürgen; Trenkler, Götz; Troschke, Sven-Oliver The vector cross product in \(\mathbb{C}^3\). (English) Zbl 1018.15027 Int. J. Math. Educ. Sci. Technol. 30, No. 4, 549-555 (1999). MSC: 15A72 PDFBibTeX XMLCite \textit{J. Gross} et al., Int. J. Math. Educ. Sci. Technol. 30, No. 4, 549--555 (1999; Zbl 1018.15027) Full Text: DOI
Trenkler, Götz On the eigenvalues of \(3\times 3\) magic squares. (English) Zbl 1017.05029 Int. J. Math. Educ. Sci. Technol. 30, No. 2, 307-308 (1999). MSC: 05B15 15A18 PDFBibTeX XMLCite \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 30, No. 2, 307--308 (1999; Zbl 1017.05029)
Martínez, José-Javier A generalized Kronecker product and linear systems. (English) Zbl 1018.15026 Int. J. Math. Educ. Sci. Technol. 30, No. 1, 137-141 (1999). MSC: 15A69 15A06 65F05 15A09 PDFBibTeX XMLCite \textit{J.-J. Martínez}, Int. J. Math. Educ. Sci. Technol. 30, No. 1, 137--141 (1999; Zbl 1018.15026) Full Text: DOI
Ward, A. J. B. A straightforward proof of Roth’s lemma in matrix equations. (English) Zbl 1025.15022 Int. J. Math. Educ. Sci. Technol. 30, No. 1, 33-38 (1999). MSC: 15A24 15A54 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 30, No. 1, 33--38 (1999; Zbl 1025.15022) Full Text: DOI
Atanassov, K. T.; Shannon, A. G. Matrix-tertions and matrix-noitrets: exercises in mathematical enrichment. (English) Zbl 1269.15005 Int. J. Math. Educ. Sci. Technol. 29, No. 6, 898-903 (1998). MSC: 15A15 97H60 PDFBibTeX XMLCite \textit{K. T. Atanassov} and \textit{A. G. Shannon}, Int. J. Math. Educ. Sci. Technol. 29, No. 6, 898--903 (1998; Zbl 1269.15005)
Gross, Jürgen A “classical inequality” for positive semidefinite matrices. (English) Zbl 1025.15031 Int. J. Math. Educ. Sci. Technol. 29, No. 5, 785-788 (1998). MSC: 15A45 26D15 15B48 PDFBibTeX XMLCite \textit{J. Gross}, Int. J. Math. Educ. Sci. Technol. 29, No. 5, 785--788 (1998; Zbl 1025.15031)
Gross, J. Schur’s inequality reconsidered. (English) Zbl 1018.15015 Int. J. Math. Educ. Sci. Technol. 29, No. 4, 629-630 (1998). MSC: 15A45 15A15 PDFBibTeX XMLCite \textit{J. Gross}, Int. J. Math. Educ. Sci. Technol. 29, No. 4, 629--630 (1998; Zbl 1018.15015)
Friedberg, Stephen H. An analytical proof of the Cayley-Hamilton theorem. (English) Zbl 1018.15007 Int. J. Math. Educ. Sci. Technol. 29, No. 4, 598-600 (1998). MSC: 15A18 PDFBibTeX XMLCite \textit{S. H. Friedberg}, Int. J. Math. Educ. Sci. Technol. 29, No. 4, 598--600 (1998; Zbl 1018.15007)
Trenkler, Götz Vector equations and their solutions. (English) Zbl 1025.15002 Int. J. Math. Educ. Sci. Technol. 29, No. 3, 455-459 (1998). MSC: 15A06 15A99 PDFBibTeX XMLCite \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 29, No. 3, 455--459 (1998; Zbl 1025.15002)
Ward, A. J. B. Roth’s removal theorem for lambda matrices. (English) Zbl 1025.15021 Int. J. Math. Educ. Sci. Technol. 29, No. 3, 325-328 (1998). MSC: 15A24 15B36 15A54 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 29, No. 3, 325--328 (1998; Zbl 1025.15021) Full Text: DOI
Ward, A. J. B. A generalization of Jameson’s method for Sylvester’s matrix equation. (English) Zbl 1025.15020 Int. J. Math. Educ. Sci. Technol. 29, No. 2, 179-186 (1998). MSC: 15A24 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 29, No. 2, 179--186 (1998; Zbl 1025.15020) Full Text: DOI
Yayli, Yusuf Unit octonions and some geometrical interpretations. (English) Zbl 0890.15015 Int. J. Math. Educ. Sci. Technol. 28, No. 5, 749-751 (1997). Reviewer: Wolfgang Sproessig (Freiberg) MSC: 15B33 51N30 PDFBibTeX XMLCite \textit{Y. Yayli}, Int. J. Math. Educ. Sci. Technol. 28, No. 5, 749--751 (1997; Zbl 0890.15015) Full Text: DOI
Bellandi, J.; Guzzo, M. M.; Fleitas, J. R.; De Aquino, V. M. On the matricial representations of exponential operators. (English) Zbl 0884.15025 Int. J. Math. Educ. Sci. Technol. 28, No. 4, 591-597 (1997). Reviewer: J.Zemánek (Warszawa) MSC: 15A60 PDFBibTeX XMLCite \textit{J. Bellandi} et al., Int. J. Math. Educ. Sci. Technol. 28, No. 4, 591--597 (1997; Zbl 0884.15025) Full Text: DOI
Elk, Seymour B. The cross product of two vectors is not just another vector - a major misconception being perpetuated in calculus and vector analysis textbooks. (English) Zbl 0889.15030 Int. J. Math. Educ. Sci. Technol. 28, No. 4, 531-543 (1997). Reviewer: G.E.Wall (Sydney) MSC: 15A72 PDFBibTeX XMLCite \textit{S. B. Elk}, Int. J. Math. Educ. Sci. Technol. 28, No. 4, 531--543 (1997; Zbl 0889.15030) Full Text: DOI
Kirk, Bernadette L.; Kuo, Yueh-Er M-matrices. (English) Zbl 0884.15016 Int. J. Math. Educ. Sci. Technol. 27, No. 6, 855-863 (1996). Reviewer: J.Zemánek (Warszawa) MSC: 15B48 15A18 PDFBibTeX XMLCite \textit{B. L. Kirk} and \textit{Y.-E. Kuo}, Int. J. Math. Educ. Sci. Technol. 27, No. 6, 855--863 (1996; Zbl 0884.15016) Full Text: DOI
Haberl, Josef Linear systems: A column-space approach to Cramer’s rule. (English) Zbl 0889.15002 Int. J. Math. Educ. Sci. Technol. 27, No. 6, 803-806 (1996). Reviewer: R.Ursianu (Bucureşti) MSC: 15A06 PDFBibTeX XMLCite \textit{J. Haberl}, Int. J. Math. Educ. Sci. Technol. 27, No. 6, 803--806 (1996; Zbl 0889.15002) Full Text: DOI
Insel, Arnold J. Singular value decomposition and the nearest matrix of a lower rank. (English) Zbl 0884.15024 Int. J. Math. Educ. Sci. Technol. 27, No. 2, 189-195 (1996). Reviewer: J.Zemánek (Warszawa) MSC: 15A60 15A18 PDFBibTeX XMLCite \textit{A. J. Insel}, Int. J. Math. Educ. Sci. Technol. 27, No. 2, 189--195 (1996; Zbl 0884.15024) Full Text: DOI
Fineschi, F.; Giannetti, R.; Marathe, Kishore B. Generalized products and associated structures on Euclidean spaces. (English) Zbl 0889.15029 Int. J. Math. Educ. Sci. Technol. 27, No. 4, 493-505 (1996). Reviewer: G.E.Wall (Sydney) MSC: 15A72 15A15 15A09 PDFBibTeX XMLCite \textit{F. Fineschi} et al., Int. J. Math. Educ. Sci. Technol. 27, No. 4, 493--505 (1996; Zbl 0889.15029) Full Text: DOI
Imaoka, Mitsunori; Maruo, Osamu; Yamaguchi, Junichirou A solution of Sylvester’s matrix equation. (English) Zbl 0883.15007 Int. J. Math. Educ. Sci. Technol. 27, No. 3, 471-473 (1996). Reviewer: P.Narain (Bombay) MSC: 15A24 PDFBibTeX XMLCite \textit{M. Imaoka} et al., Int. J. Math. Educ. Sci. Technol. 27, No. 3, 471--473 (1996; Zbl 0883.15007)
Gürgöze, Metin Proof of a formula on the evaluation of the determinant of a special matrix by mathematical induction. (English) Zbl 0886.15005 Int. J. Math. Educ. Sci. Technol. 27, No. 3, 456-459 (1996). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A15 PDFBibTeX XMLCite \textit{M. Gürgöze}, Int. J. Math. Educ. Sci. Technol. 27, No. 3, 456--459 (1996; Zbl 0886.15005)
de Olazábal, J. M. Congruence of symmetric matrices. (English) Zbl 0880.15012 Int. J. Math. Educ. Sci. Technol. 26, No. 4, 495-500 (1995). MSC: 15A21 15A18 PDFBibTeX XMLCite \textit{J. M. de Olazábal}, Int. J. Math. Educ. Sci. Technol. 26, No. 4, 495--500 (1995; Zbl 0880.15012) Full Text: DOI
Bomze, Immanuel M. Checking positive-definiteness by three statements. (English) Zbl 0881.65028 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 289-294 (1995). MSC: 65F15 15A18 PDFBibTeX XMLCite \textit{I. M. Bomze}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 289--294 (1995; Zbl 0881.65028)
Chorlton, Frank Consideration of a system of matrix equations. (English) Zbl 0880.15019 Int. J. Math. Educ. Sci. Technol. 26, No. 2, 273-275 (1995). MSC: 15A24 PDFBibTeX XMLCite \textit{F. Chorlton}, Int. J. Math. Educ. Sci. Technol. 26, No. 2, 273--275 (1995; Zbl 0880.15019)
Tzanakis, Constantinos Rotations, complex numbers and quaternions. (English) Zbl 0880.15022 Int. J. Math. Educ. Sci. Technol. 26, No. 1, 45-60 (1995). MSC: 15B33 PDFBibTeX XMLCite \textit{C. Tzanakis}, Int. J. Math. Educ. Sci. Technol. 26, No. 1, 45--60 (1995; Zbl 0880.15022) Full Text: DOI
Leeney, Mark G. Return to “Is AB=I, BA=I not equivalent to AB=BA=I?”. (English) Zbl 0826.15002 Int. J. Math. Educ. Sci. Technol. 25, No. 4, 622-623 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A09 15A27 PDFBibTeX XMLCite \textit{M. G. Leeney}, Int. J. Math. Educ. Sci. Technol. 25, No. 4, 622--623 (1994; Zbl 0826.15002)
Ward, A. J. B. The inverse of a partitioned matrix. (English) Zbl 0824.15006 Int. J. Math. Educ. Sci. Technol. 25, No. 4, 608-612 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A09 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 25, No. 4, 608--612 (1994; Zbl 0824.15006) Full Text: DOI
Maher, P. J. Means for matrices. (English) Zbl 0822.15007 Int. J. Math. Educ. Sci. Technol. 25, No. 4, 605-608 (1994). Reviewer: V.Prepeliţă (Bucureşti) MSC: 15A45 15B48 15A60 47A30 26D15 PDFBibTeX XMLCite \textit{P. J. Maher}, Int. J. Math. Educ. Sci. Technol. 25, No. 4, 605--608 (1994; Zbl 0822.15007)
Trenkler, Götz Singular magic squares. (English) Zbl 0827.15003 Int. J. Math. Educ. Sci. Technol. 25, No. 4, 595-597 (1994). Reviewer: G.Bonanno (Davis) MSC: 15A09 05B15 PDFBibTeX XMLCite \textit{G. Trenkler}, Int. J. Math. Educ. Sci. Technol. 25, No. 4, 595--597 (1994; Zbl 0827.15003)
Botha, J. D. Alternative proofs of the rational canonical form theorem. (English) Zbl 0824.15008 Int. J. Math. Educ. Sci. Technol. 25, No. 5, 745-749 (1994). Reviewer: K.Burian (Havířov) MSC: 15A21 PDFBibTeX XMLCite \textit{J. D. Botha}, Int. J. Math. Educ. Sci. Technol. 25, No. 5, 745--749 (1994; Zbl 0824.15008) Full Text: DOI
Martín, K.; De Olazábal, J. M. An extension of Vandermonde’s determinant. (English) Zbl 0823.15007 Int. J. Math. Educ. Sci. Technol. 25, No. 5, 665-667 (1994). Reviewer: A.Lal (Allahabad) MSC: 15A15 11C20 PDFBibTeX XMLCite \textit{K. Martín} and \textit{J. M. De Olazábal}, Int. J. Math. Educ. Sci. Technol. 25, No. 5, 665--667 (1994; Zbl 0823.15007) Full Text: DOI
Ward, A. J. B. A link between the matrix equation \(AX-XB=C\) and the matrix quadratic. (English) Zbl 0821.15010 Int. J. Math. Educ. Sci. Technol. 25, No. 3, 407-411 (1994). Reviewer: J.M.Day (San José) MSC: 15A24 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 25, No. 3, 407--411 (1994; Zbl 0821.15010) Full Text: DOI
Lin, Fuyau The game of matrix rings for cryptography. (English) Zbl 0812.94009 Int. J. Math. Educ. Sci. Technol. 25, No. 1, 121-124 (1994). MSC: 94A60 15B33 68P25 PDFBibTeX XMLCite \textit{F. Lin}, Int. J. Math. Educ. Sci. Technol. 25, No. 1, 121--124 (1994; Zbl 0812.94009) Full Text: DOI
Hemasinha, Rohan Permutation bases. (English) Zbl 0804.15001 Int. J. Math. Educ. Sci. Technol. 25, No. 1, 103-111 (1994). Reviewer: J.Szilasi (Debrecen) MSC: 15A03 15A18 65F30 PDFBibTeX XMLCite \textit{R. Hemasinha}, Int. J. Math. Educ. Sci. Technol. 25, No. 1, 103--111 (1994; Zbl 0804.15001) Full Text: DOI
Ward, A. J. B. A novel proof of Roth’s removal rule. (English) Zbl 0803.15013 Int. J. Math. Educ. Sci. Technol. 24, No. 4, 575-578 (1993). Reviewer: P.Narain (Bombay) MSC: 15A24 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 24, No. 4, 575--578 (1993; Zbl 0803.15013) Full Text: DOI
Hu, Chinglin Applications of matrices. (English) Zbl 0791.15002 Int. J. Math. Educ. Sci. Technol. 24, No. 3, 479-483 (1993). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A06 15B36 65F05 PDFBibTeX XMLCite \textit{C. Hu}, Int. J. Math. Educ. Sci. Technol. 24, No. 3, 479--483 (1993; Zbl 0791.15002) Full Text: DOI
O’Keeffe, J. D. Vector-product identities in \(n\)-space. (English) Zbl 0791.15004 Int. J. Math. Educ. Sci. Technol. 24, No. 2, 295-300 (1993). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A15 15A63 15A75 PDFBibTeX XMLCite \textit{J. D. O'Keeffe}, Int. J. Math. Educ. Sci. Technol. 24, No. 2, 295--300 (1993; Zbl 0791.15004) Full Text: DOI
Ward, A. J. B. A closed-form formula for the inverse of the nivellateur in the solution of Sylvester’s matrix equation. (English) Zbl 0768.15010 Int. J. Math. Educ. Sci. Technol. 24, No. 1, 101-105 (1993). Reviewer: Y.Kuo (Knoxville) MSC: 15A24 15A69 15A30 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 24, No. 1, 101--105 (1993; Zbl 0768.15010) Full Text: DOI
Trenkler, G.; Knautz, H. A note on the expected value of a Moore-Penrose inverse. (English) Zbl 0753.15003 Int. J. Math. Educ. Sci. Technol. 23, No. 1, 155 (1992). Reviewer: S.L.Campbell (Raleigh) MSC: 15A09 15B51 PDFBibTeX XMLCite \textit{G. Trenkler} and \textit{H. Knautz}, Int. J. Math. Educ. Sci. Technol. 23, No. 1, 155 (1992; Zbl 0753.15003)
Upadhyaya, B. S. Is \(\mathbf{AB}={\mathbf I}\), \(\mathbf{BA}={\mathbf I}\) not equivalent to \(\mathbf{AB}=\mathbf{BA}={\mathbf I}\)! (English) Zbl 0753.15004 Int. J. Math. Educ. Sci. Technol. 23, No. 2, 301-302 (1992). Reviewer: S.L.Campbell (Raleigh) MSC: 15A09 PDFBibTeX XMLCite \textit{B. S. Upadhyaya}, Int. J. Math. Educ. Sci. Technol. 23, No. 2, 301--302 (1992; Zbl 0753.15004) Full Text: DOI
Fenwick, Ellen Hetland Quaternions and the art of navigation. (English) Zbl 0789.15017 Int. J. Math. Educ. Sci. Technol. 23, No. 2, 273-279 (1992). Reviewer: P.Kraut (Egmating) MSC: 15B33 15-01 PDFBibTeX XMLCite \textit{E. H. Fenwick}, Int. J. Math. Educ. Sci. Technol. 23, No. 2, 273--279 (1992; Zbl 0789.15017) Full Text: DOI
Friedberg, Stephen H.; Insel, Arnold J. Convergence of matrix powers. (English) Zbl 0770.15004 Int. J. Math. Educ. Sci. Technol. 23, No. 5, 765-769 (1992). Reviewer: D.Kershaw (Lancaster) MSC: 15A18 65F10 PDFBibTeX XMLCite \textit{S. H. Friedberg} and \textit{A. J. Insel}, Int. J. Math. Educ. Sci. Technol. 23, No. 5, 765--769 (1992; Zbl 0770.15004) Full Text: DOI
Chappell, David A simple method for finding the inverse matrix for a class of square symmetric matrices. (English) Zbl 0752.15003 Int. J. Math. Educ. Sci. Technol. 22, No. 5, 845-847 (1991). Reviewer: W.Wiȩsław (Wrocław) MSC: 15A09 15B57 PDFBibTeX XMLCite \textit{D. Chappell}, Int. J. Math. Educ. Sci. Technol. 22, No. 5, 845--847 (1991; Zbl 0752.15003)
Pollock, D. S. G. An index notation for multivariate statistical analysis. (English) Zbl 0732.62060 Int. J. Math. Educ. Sci. Technol. 22, No. 4, 657-667 (1991). MSC: 62H99 15A24 15A69 26B99 PDFBibTeX XMLCite \textit{D. S. G. Pollock}, Int. J. Math. Educ. Sci. Technol. 22, No. 4, 657--667 (1991; Zbl 0732.62060) Full Text: DOI
Sheskin, Theodore J. Matrix inversion by augmentation and reduction. (English) Zbl 0725.65028 Int. J. Math. Educ. Sci. Technol. 22, No. 1, 103-110 (1991). Reviewer: A.Varga (Bucureşti) MSC: 65F05 15A09 PDFBibTeX XMLCite \textit{T. J. Sheskin}, Int. J. Math. Educ. Sci. Technol. 22, No. 1, 103--110 (1991; Zbl 0725.65028) Full Text: DOI
Howard, Jim; Howard, Joe Determinants by definition. (English) Zbl 0724.15009 Int. J. Math. Educ. Sci. Technol. 22, No. 2, 321-324 (1991). Reviewer: H.-J.Kowalsky (Braunschweig) MSC: 15A15 PDFBibTeX XMLCite \textit{J. Howard} and \textit{J. Howard}, Int. J. Math. Educ. Sci. Technol. 22, No. 2, 321--324 (1991; Zbl 0724.15009) Full Text: DOI
O’Keeffe, J. D. An \(n\)-dimensional proof of the \(\varepsilon{} - \delta\) tensor identity. (English) Zbl 0752.15019 Int. J. Math. Educ. Sci. Technol. 22, No. 3, 467-469 (1991). Reviewer: V.L.Popov (Moskva) MSC: 15A72 PDFBibTeX XMLCite \textit{J. D. O'Keeffe}, Int. J. Math. Educ. Sci. Technol. 22, No. 3, 467--469 (1991; Zbl 0752.15019) Full Text: DOI
Ward, A. J. B. A general analysis of Sylvester’s matrix equation. (English) Zbl 0748.15015 Int. J. Math. Educ. Sci. Technol. 22, No. 4, 615-620 (1991). Reviewer: F.J.Gaines (Dublin) MSC: 15A24 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 22, No. 4, 615--620 (1991; Zbl 0748.15015) Full Text: DOI
DeAlba, Luz M. On a class of infinite matrices. (English) Zbl 0751.15007 Int. J. Math. Educ. Sci. Technol. 22, No. 1, 41-44 (1991). Reviewer: K.Heuvers (Houghton) MSC: 15B57 PDFBibTeX XMLCite \textit{L. M. DeAlba}, Int. J. Math. Educ. Sci. Technol. 22, No. 1, 41--44 (1991; Zbl 0751.15007) Full Text: DOI
Mercer, A. M. A simple proof of the interlace theorem for Hermitian matrices. (English) Zbl 0723.15016 Int. J. Math. Educ. Sci. Technol. 21, No. 6, 1030-1034 (1990). Reviewer: Z.Dostal (Ostrava) MSC: 15A42 15A18 PDFBibTeX XMLCite \textit{A. M. Mercer}, Int. J. Math. Educ. Sci. Technol. 21, No. 6, 1030--1034 (1990; Zbl 0723.15016)
Rumchev, V. G.; James, D. J. G. The role of non-negative matrices in discrete-time mathematical modelling. (English) Zbl 0717.93039 Int. J. Math. Educ. Sci. Technol. 21, No. 2, 169-182 (1990). MSC: 93C55 15B48 93A30 PDFBibTeX XMLCite \textit{V. G. Rumchev} and \textit{D. J. G. James}, Int. J. Math. Educ. Sci. Technol. 21, No. 2, 169--182 (1990; Zbl 0717.93039) Full Text: DOI
O’Keeffe, J. D. Calculation of the components of the vector cross product in spaces of arbitrary dimension. (English) Zbl 0697.15015 Int. J. Math. Educ. Sci. Technol. 21, No. 1, 141-147 (1990). Reviewer: A.R.Kräuter MSC: 15A63 15A69 15A30 PDFBibTeX XMLCite \textit{J. D. O'Keeffe}, Int. J. Math. Educ. Sci. Technol. 21, No. 1, 141--147 (1990; Zbl 0697.15015) Full Text: DOI
Shaw, Ronald; Dennett, J. Roy On AB and BA. (English) Zbl 0697.15017 Int. J. Math. Educ. Sci. Technol. 20, No. 6, 867-870 (1989). Reviewer: R.Ursianu MSC: 15A75 15A18 PDFBibTeX XMLCite \textit{R. Shaw} and \textit{J. R. Dennett}, Int. J. Math. Educ. Sci. Technol. 20, No. 6, 867--870 (1989; Zbl 0697.15017) Full Text: DOI
Ward, A. J. B. A formula for the solution of the matrix equation \(AX+XB=C\). (English) Zbl 0689.15003 Int. J. Math. Educ. Sci. Technol. 20, No. 4, 583-584 (1989). Reviewer: F.J.Gaines MSC: 15A24 15A21 PDFBibTeX XMLCite \textit{A. J. B. Ward}, Int. J. Math. Educ. Sci. Technol. 20, No. 4, 583--584 (1989; Zbl 0689.15003) Full Text: DOI
Degoli, Lando Solutions for diophantine equations with the method of cyclic matrices. (English) Zbl 0683.10016 Int. J. Math. Educ. Sci. Technol. 20, No. 5, 661-670 (1989). Reviewer: P.Bundschuh MSC: 11D41 15A18 PDFBibTeX XMLCite \textit{L. Degoli}, Int. J. Math. Educ. Sci. Technol. 20, No. 5, 661--670 (1989; Zbl 0683.10016) Full Text: DOI
Teng, Tien-Hsi Theoretical analysis concerning extension to incentre and escentres. (English) Zbl 0671.15003 Int. J. Math. Educ. Sci. Technol. 19, No. 6, 833-850 (1988). Reviewer: G.P.Barker MSC: 15A03 PDFBibTeX XMLCite \textit{T.-H. Teng}, Int. J. Math. Educ. Sci. Technol. 19, No. 6, 833--850 (1988; Zbl 0671.15003) Full Text: DOI
Sharp, J. J.; Moore, E. A systematic approach to the development of echelon matrices for dimensional analysis. (English) Zbl 0657.15022 Int. J. Math. Educ. Sci. Technol. 19, No. 3, 461-467 (1988). MSC: 15A90 15B57 PDFBibTeX XMLCite \textit{J. J. Sharp} and \textit{E. Moore}, Int. J. Math. Educ. Sci. Technol. 19, No. 3, 461--467 (1988; Zbl 0657.15022) Full Text: DOI
Keremedis, Kyriakos; Abian, Alexander On the associativity and commutativity of multiplication of infinite matrices. (English) Zbl 0644.15004 Int. J. Math. Educ. Sci. Technol. 19, No. 1, 175-182 (1988). Reviewer: A.A.Jafarian MSC: 15A30 15A24 47B37 15A27 PDFBibTeX XMLCite \textit{K. Keremedis} and \textit{A. Abian}, Int. J. Math. Educ. Sci. Technol. 19, No. 1, 175--182 (1988; Zbl 0644.15004) Full Text: DOI