Question
Show that if $\mathbf{A}$ and $\mathbf{B}$ are $n \times n$ orthogonal matrices, then $\mathbf{A B}$ is orthogonal.
Step 1
A matrix $\mathbf{A}$ is orthogonal if its transpose is equal to its inverse, i.e., $\mathbf{A}^T = \mathbf{A}^{-1}$. Show more…
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Key Concepts
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Determinants
Properties of Determinants
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