Compute the indicated product: $\begin{bmatrix} a & b \\ -b & a \end{bmatrix} \begin{bmatrix} a & -b \\ b & a \end{bmatrix}$
- A$\begin{bmatrix} a^2+b^2 & 0 \\ 0 & a^2+b^2 \end{bmatrix}$
- B$\begin{bmatrix} a^2-b^2 & 0 \\ 0 & a^2-b^2 \end{bmatrix}$
- C$\begin{bmatrix} a^2+b^2 & 2ab \\ 2ab & a^2+b^2 \end{bmatrix}$
- D$\begin{bmatrix} a^2 & b^2 \\ b^2 & a^2 \end{bmatrix}$
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