设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ].
A: 若 A + B = A + C, 则 B = C.
B: 若 AB = AC, 则 B = C.
C: 若 AB = AC 而且 A ¹ O, 则 B = C.
D: 若 AB = AC 而且 A 与单位矩阵等价, 则 B = C.
E: A(BC) = (AC)B.
A: 若 A + B = A + C, 则 B = C.
B: 若 AB = AC, 则 B = C.
C: 若 AB = AC 而且 A ¹ O, 则 B = C.
D: 若 AB = AC 而且 A 与单位矩阵等价, 则 B = C.
E: A(BC) = (AC)B.
举一反三
- 设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ]. A: 若 AB = AC, 则 B = C. B: 若 AB = AC 而且 A ¹ O, 则 B = C. C: A(BC) = (AC)B. D: [img=138x25]18036adbb35ee4e.png[/img] E: [img=194x25]18036adbbc62776.png[/img]
- 设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ]. A: 若 AB = AC, 则 B = C. B: 若 AB = AC 而且 A ¹ O, 则 B = C. C: A(BC) = (AC)B. D: [img=138x25]18038214a3c311c.png[/img] E: [img=194x25]18038214ac00b91.png[/img]
- 设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ]. A: 若 AB = AC, 则 B = C. B: 若 AB = AC 而且 A ¹ O, 则 B = C. C: A(BC) = (AC)B. D: [img=138x25]1803e073821b375.png[/img] E: [img=194x25]1803e0738a0124c.png[/img]
- 设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ]. A: 若 AB = AC, 则 B = C. B: 若 AB = AC 而且 A ¹ O, 则 B = C. C: A(BC) = (AC)B. D: [img=138x25]18030b7c2ad0904.png[/img] E: [img=194x25]18030b7c345f35c.png[/img]
- 设A, B, C均为n 阶方阵, 则下列结论一定正确的是[ ]. A: 若 AB = AC, 则 B = C. B: 若 AB = AC 而且 A ¹ O, 则 B = C. C: A(BC) = (AC)B. D: [img=138x25]1803933966228c8.png[/img] E: [img=194x25]180393396e68730.png[/img]