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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??