Question: Calculate WTW . What do you get? Why should we expect this result? Enter the following vectors into MATLAB:Compute the norm of b and the

Calculate WTW. What do you get? Why should we expect this result?
Enter the following vectors into MATLAB:Compute the norm of b and the norm of Wb. What do you notice? Also compute the dot products a, b and Wa, Wb.
One of the fundamental properties of orthogonal matrices is that they preserve norms of vectors and the standard inner product. (You can define orthogonal matrices as the ones with this property, in fact.)

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