Question: 7. Let w E R' be a fixed vector with ||w|| = 1 and let f : R3 -> R3 be the linear transformation given

7. Let w E R' be a fixed vector with ||w|| = 1 and let f : R3 -> R3 be the linear transformation given by f (v.) = v - 2(v . w)w. Let M be the standard matrix of f. Find two eigenvalues of M and show that M is diago- nalizable

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