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Let w be a subspace of R and B = {ū1, ... ,üx] be an orthonormal basis for W If we form the matrix U = (ū ū2 - ūk) then the
Use the fact that p2 = P to find all eigenvalues of the matrix P. Hint: Suppose that Pů = 1ū for some scalar i and non-zero v
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Suppose. be o Eigenvalue of P. Po = x for some o #0 Multiply both side by P from left. per = x P a [: p?=p and PBP = xū] X (1

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