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  3. consider the set w of all 2 x 2 matrices a such th

Consider the set W of all 2 x 2 matrices A such that both (1,...

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Algebra

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Consider the set W of all 2 x 2 matrices A such that both (1, 2) and (2, -1) are eigenvectors of A. Prove that W is a subspace of the space of all 2 x 2 matrices and find the dimension of W.

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