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

Question

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

$$\left[ {\matrix{ 4 & { - 32} \cr 0 & {36} \cr } } \right]$$

$$\left[ {\matrix{ {36} & 0 \cr { - 32} & 4 \cr } } \right]$$

$$\left[ {\matrix{ 4 & 0 \cr { - 32} & {36} \cr } } \right]$$

$$\left[ {\matrix{ {36} & { - 32} \cr 0 & 4 \cr } } \right]$$

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