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??. ??? ?????????? ????? ?????? ??????? ???? ??? ??????? ????????. ??? ??. 2.1 ????2.2 ??????2.3 ???2.4 ????. Elementary Linear Algebra ??????R. Larsen et al. (6 Edition) ??? ??? ?? .

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    1. ???? ??????????? ????:??? ??

    2. ?? ??? ??????? ??? ?? ??? ??? ??? ???? ??? ???? ??? ???? ??? ????????

    3. ??? ?? 2.1 ???? 2.2 ?????? 2.3 ??? 2.4 ????

    4. 2.1 ????

    8. ??????????

    16. ????????????

    17. ????? (2.1?????) row vector: ??? column vector: ??? diagonal matrix: ???? trace: ?? equality of matrices: ???? matrix addition: ???? scalar multiplication: ??? matrix multiplication: ???? partitioned matrix: ????

    18. 2.2 ???????

    21. ????????????

    25. ??????????

    26. ??????????

    29. ????????

    31. ????? (2.2?????) zero matrix: ??? identity matrix: ???? transpose matrix: ???? symmetric matrix: ???? skew-symmetric matrix: ?????

    32. 2.3 ???

    45. ??????

    46. ????? (2.3?????) inverse matrix: ??? invertible: ?? nonsingular: ??? singular: ?? power: ??

    67. ????? (2.4?????) row elementary matrix: ????? row equivalent: ??? lower triangular matrix: ????? upper triangular matrix: ????? LU-factorization: LU??

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