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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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