Question: Linear AlgebraQuestion Help! Let U ( Rxx, and suppose Vo E R, |Ux| | = x . Prove that U is orthog- onal. Hint: Use

Linear AlgebraQuestion Help!

Let U ( Rxx, and suppose Vo E R", |Ux| | = x . Prove that U is orthog- onal. Hint: Use the fact that v . w = (v + w|2- |v - w|?), with v = Ux and w = Uy. Then use the fact that v . w = v w and deduce that UTU = In. Finally, finish the problem with a theorem from class

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