LEADER 02962nam 2200553 450 001 9910495350603321 005 20230616194051.0 010 $a3-030-80481-X 024 7 $a10.1007/978-3-030-80481-7 035 $a(CKB)4100000011999205 035 $a(DE-He213)978-3-030-80481-7 035 $a(MiAaPQ)EBC6706340 035 $a(Au-PeEL)EBL6706340 035 $a(PPN)257357289 035 $a(EXLCZ)994100000011999205 100 $a20220505d2021 uy 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aIntroduction to matrix theory /$fArindama Singh 205 $a1st ed. 2021. 210 1$aCham, Switzerland :$cSpringer,$d[2021] 210 4$dŠ2021 215 $a1 online resource (IX, 194 p. 2 illus., 1 illus. in color.) 311 $a3-030-80480-1 327 $aMatrix Operations -- Systems of Linear Equations -- Matrix as a Linear Map -- Orthogonality -- Eigenvalues and Eigenvectors -- Canonical Forms -- Norms of Matrices -- Short Bibliography -- Index. 330 $aThis book is designed to serve as a textbook for courses offered to undergraduate and postgraduate students enrolled in Mathematics. Using elementary row operations and Gram-Schmidt orthogonalization as basic tools the text develops characterization of equivalence and similarity, and various factorizations such as rank factorization, OR-factorization, Schurtriangularization, Diagonalization of normal matrices, Jordan decomposition, singular value decomposition, and polar decomposition. Along with Gauss-Jordan elimination for linear systems, it also discusses best approximations and least-squares solutions. The book includes norms on matrices as a means to deal with iterative solutions of linear systems and exponential of a matrix. The topics in the book are dealt with in a lively manner. Each section of the book has exercises to reinforce the concepts, and problems have been added at the end of each chapter. Most of these problems are theoretical, and they do not fit into the running text linearly. The detailed coverage and pedagogical tools make this an ideal textbook for students and researchers enrolled in senior undergraduate and beginning postgraduate mathematics courses. 606 $aMatrices 606 $aMatrius (Matemātica)$2thub 606 $aĀlgebra lineal$2thub 606 $aMatemātica per a enginyers$2thub 606 $aFísica matemātica$2thub 608 $aLlibres electrōnics$2thub 615 0$aMatrices. 615 7$aMatrius (Matemātica) 615 7$aĀlgebra lineal 615 7$aMatemātica per a enginyers 615 7$aFísica matemātica 676 $a512.9434 700 $aSingh$b Arindama$0767987 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910495350603321 996 $aIntroduction to Matrix Theory$91897177 997 $aUNINA