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JEE Math Practice Question

Let $$A$$ be a matrix such that $$A.\left[ {\begin{matrix} 1 & 2 \\ 0 & 3 \\ \end{matrix} } \right]$$ is a scalar matrix and |3A| = 108. Then A2 equals :

  1. A.$$\left[ {\begin{matrix} 4 & { - 32} \\ 0 & {36} \\ \end{matrix} } \right]$$
  2. B.$$\left[ {\begin{matrix} {36} & 0 \\ { - 32} & 4 \\ \end{matrix} } \right]$$
  3. C.$$\left[ {\begin{matrix} 4 & 0 \\ { - 32} & {36} \\ \end{matrix} } \right]$$
  4. D.$$\left[ {\begin{matrix} {36} & { - 32} \\ 0 & 4 \\ \end{matrix} } \right]$$

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