Question
If $A$ and $B$ are orthogonal matrices, of the same size, then which one of the following is an orthogonal matrix(a) $A B$(b) $A+B$(c) $A+i B$(d) $i(A+B)$
Step 1
This means that $A^T = A^{-1}$ and $B^T = B^{-1}$, where $T$ denotes the transpose and $-1$ denotes the inverse of a matrix. This is because the property of an orthogonal matrix is that its transpose is equal to its inverse. Show more…
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