Let A be a [img=41x19]1803c4e38325ee9.png[/img] matrix, then ________.
A: If Ax=0 has only trivial solution, then Ax=b must have a unique solution.
B: If Ax=0 has a nontrivial solution, then Ax=b must have infinitely many solutions.
C: If Ax=b has a unique solution, then Ax=0 must have a unique solution.
D: If Ax=0 has a nontrivial solution, then [img=55x23]1803c4e38c0c9df.png[/img] must have a nontrivial solution.
A: If Ax=0 has only trivial solution, then Ax=b must have a unique solution.
B: If Ax=0 has a nontrivial solution, then Ax=b must have infinitely many solutions.
C: If Ax=b has a unique solution, then Ax=0 must have a unique solution.
D: If Ax=0 has a nontrivial solution, then [img=55x23]1803c4e38c0c9df.png[/img] must have a nontrivial solution.
举一反三
- The matrix A is[img=44x19]1803b6ad8347a80.png[/img]. If the eqaution Ax=0 has only the trivial solution , thenA is invertible.
- A is an [img=36x19]1803c4e61381e6b.png[/img] matrix and [img=12x14]1803c4e61b3a2fb.png[/img] is an n-dimensional column vector. If the [img=201x51]1803c4e628b33fd.png[/img], then the linear system ____________ A: [img=60x19]1803c4e6316cf85.png[/img] must have infinitly many solutions. B: [img=139x51]1803c4e63cf2009.png[/img]must have nontrivial solutions. C: [img=60x19]1803c4e6316cf85.png[/img] must have a unique solution. D: [img=139x51]1803c4e63cf2009.png[/img] only has nontrivial solutions.
- 设[img=43x18]180323c40df2e7b.png[/img]是齐次线性方程组Ax=0的两个解向量,[img=40x23]180323c4167ba30.png[/img]是线性方程组Ax=b的两个解向量,则( )A.[img=55x23]180323c41e717fa.png[/img]是Ax=0的解; B.[img=57x23]180323c4270b314.png[/img]是Ax=0的解; C.[img=57x23]180323c42e322e4.png[/img]是Ax=b的解; D.[img=50x20]180323c4367a202.png[/img]是Ax=b的解. A: [img=55x23]180323c43f4cda2.png[/img]是Ax=0的解 B: [img=57x23]180323c447b824e.png[/img]是Ax=0的解 C: [img=57x23]180323c4505a39e.png[/img]是Ax=b的解 D: [img=50x20]180323c459060ff.png[/img]是Ax=b的解 E: [img=55x23]180323c43f4cda2.png[/img]是Ax=0的解
- 已知AX寄存器的内容不为0,以下哪些指令执行后(AX)=0。( ) A: SUB AX,AX B: XOR AX,AX C: AND AX,0 D: OR AX,0 E: MOV AX,0 F: CMP AX,0
- 设A是[img=49x19]17de8dd094b0e00.png[/img]矩阵,AX=0是非齐次线性方程组AX=b对应的齐次线性方程组,那么 A: 若AX=0仅有零解,则AX=b有唯一解, B: 若AX=0有非零解,则AX=b有无穷多解, C: 若AX=b有无穷多解,则AX=0仅有零解, D: 若AX=b有无穷多解,则AX=0有非零解