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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
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. [7 Marks]
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