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Let w E R3 be a fixed vector with ||w|| = 1 and let f :R3 R3 be the linear transformation given by f(v) =

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Let w E R3 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. 7

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