This results in the identity matrix, denoted as $\mathbf{I}$.
For k = 2, we have $\mathbf{A}^{-2} \mathbf{A}$, which is the inverse of matrix $\mathbf{A}^2$ multiplied by matrix $\mathbf{A}$. This can be written as $(\mathbf{A}^{-1})^2 \mathbf{A}$. We can first
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