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ISI2014-DCG-70

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For the matrices $A = \begin{pmatrix} a & a \\ 0 & a \end{pmatrix}$ and $B = \begin{pmatrix} 0 & 1 \\ -1 & 0 \end{pmatrix}$, $(B^{-1}AB)^3$ is equal to

  1. $\begin{pmatrix} a^3 & a^3 \\ 0 & a^3 \end{pmatrix}$
  2. $\begin{pmatrix} a^3 & 3a^3 \\ 0 & a^3 \end{pmatrix}$
  3. $\begin{pmatrix} a^3 & 0 \\ 3a^3 & a^3 \end{pmatrix}$
  4. $\begin{pmatrix} a^3 & 0 \\ -3a^3 & a^3 \end{pmatrix}$
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