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109年 - 109 國立中山大學_碩士班招生考試_資工系(乙組)：工程數學#105759
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題組內容
III. If matrix A and matrix B are row equivalent. Please determine the correctness of the following descriptions.
15. The determinant of A is equal to the determinant of B.
其他申論題
11. The row space of A is equal to the row space of B.
#450122
12. The column space of A is equal to the column space of B.
#450123
13. The null space of A is equal to the null space of B.
#450124
14. The rank(A) is equal to the rank(B).
#450125
16. If A and B are invertible 2x2 matrices, then
#450127
17. If A is a 3x3 matrix such that the system Ax = 0 has only the trivial solution, then the equation Ax = b is consistent for every b in R3.
#450128
18. If P and D are nxn matrices, then det = det(D).
#450129
19.If T， then Null(T)= span
#450130
20. If A and B are any 2x2 matrices, then AB = BA.
#450131
21. The matrix is not invertible.
#450132
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