| Steven J.Leon，1971年于密歇根州立大学数学系获得博士学位，现为马萨诸塞大学达特茅斯分校数学系首席教授，ILAS（国际线性代数协会）、MAA（美国数学学会）和SIAM（美国工业与应用数学协会）成员。他主要从事科学计算、线性代数和应用数学等领域的研究。 .. << 查看详细 |
| preface. 1 matrices and systems of equations 1 systems of linear equations 2 row echelon form 3 matrix algebra 4 elementary matrices 5 partitioned matrices matlab exercises chapter test a chapter test b 2 determinants 1 the determinant of a matrix 2 properties of determinants 3 cramer's rule matlab exercises chapter test a chapter test b 3 vector spaces 1 definition and examples 2 subspaces .3 linear independence 4 basis and dimension 5 change of basis 6 row space and column space matlab exercises chapter test a chapter test b 4 linear transformations 1 definition and examples 2 matrix representations of linear transformations 3 similarity matlab exercises chapter test a chapter test b 5 orthogonality 1 the scalar product in rn 2 orthogonal subspaces 3 least squares problems 4 inner product spaces.. 5 orthonormal sets 6 the gram-schmidt orthogonalization process 7 orthogonal polynomials matlab exercises chapter test a chapter test b 6 eigenvalues 1 eigenvalues and eigenvectors 2 systems of linear differential equations 3 diagonalization 4 hermitian matrices 5 the singular value decomposition g quadratic forms 7 positive definite matrices 8 nonnegative matrices matlab exercises chapter test a chapter test b 7 numerical linear algebra 1 floating-point numbers 2 gaussian elimination 3 pivoting strategies 4 matrix norms and condition numbers 5 orthogonal transformations 6 the eigenvalue problem 7 least squares problems matlab exercises chapter test a chapter test b 8 iterative methods 9 canonical forms appendix: matlab bibliography answers to selected exercises index... |
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