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Show directly that the matrix A = [1 1 0 1] can not be diagonalized and...

Show directly that the matrix A = [1 1 0 1] can not be diagonalized and explain why the subspace U = {(x, 0) ∈ R 2 } is thus an example of an A-invariant subspace for which there is no complementary A-invariant subspace W so that R 2 = U ⊕ W.

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