jee-main 2016 Q67

jee-main · India · 09apr Matrices Determinant and Rank Computation

If $A = \begin{bmatrix} 2 & -3 \\ -4 & 1 \end{bmatrix}$, then adj$(3A^2 + 12A)$ is equal to:
(1) $\begin{bmatrix} 72 & -84 \\ -63 & 51 \end{bmatrix}$
(2) $\begin{bmatrix} 51 & 63 \\ 84 & 72 \end{bmatrix}$
(3) $\begin{bmatrix} 51 & 84 \\ 63 & 72 \end{bmatrix}$
(4) $\begin{bmatrix} 72 & -63 \\ -84 & 51 \end{bmatrix}$

If $A = \begin{bmatrix} 2 & -3 \\ -4 & 1 \end{bmatrix}$, then adj$(3A^2 + 12A)$ is equal to:\\
(1) $\begin{bmatrix} 72 & -84 \\ -63 & 51 \end{bmatrix}$\\
(2) $\begin{bmatrix} 51 & 63 \\ 84 & 72 \end{bmatrix}$\\
(3) $\begin{bmatrix} 51 & 84 \\ 63 & 72 \end{bmatrix}$\\
(4) $\begin{bmatrix} 72 & -63 \\ -84 & 51 \end{bmatrix}$

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