[中學] 高中數學-矩陣
1.設A，B，C皆為3X3矩陣，則下列哪些敘述是正確的?
(A) (AB)^m = A^m B^m
(B) (AB)C = A(BC)恆成立
(C) 若AB = 0 ，則A = 0或B = 0
(D) 若det(A) 不等於 0 ，且AB = AC ，則B = C
(E) 若AB=AC ，且A不為 0 矩陣 ，則B = C
Ans:(B)(D)
想請問為何(D)對 (E)不對
2.設A，B，C均為n階方陣，則(ABC)^T = C^T B^T A^T
想請問為什麼這是對的?
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