If $A = \begin{bmatrix} 0 & 1 & 2 \\ 2 & 3 & 0 \\ 4 & 0 & 3 \end{bmatrix}$ and $B$ is a matrix such that $AB = BA$. If $AB$ is not an identity matrix,then the matrix that can be taken as $B$ is:
- A$\begin{bmatrix} -9 & -3 & 6 \\ -6 & 8 & -4 \\ 12 & -4 & -2 \end{bmatrix}$
- B$\begin{bmatrix} 9 & -3 & 6 \\ -6 & 8 & -4 \\ -12 & -4 & 2 \end{bmatrix}$
- C$\begin{bmatrix} 9 & -3 & -6 \\ -6 & 8 & -4 \\ -12 & 4 & -2 \end{bmatrix}$
- D$\begin{bmatrix} 9 & -3 & -6 \\ -6 & -8 & 4 \\ -12 & 4 & -2 \end{bmatrix}$
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If $A$ is a $3 \times 4$ matrix and $B$ is a matrix such that $A^{\prime}B$ and $BA^{\prime}$ are both defined,then $B$ is of the type:
DifficultKCET 2014
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