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a Classify all 2x2 matrices A a C b d with integer entries such that both vectors u 1 4 V are eigenvectors of A

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a Classify all 2x2 matrices A a C b d with integer entries such that both vectors u 1 4 V are eigenvectors of A b Write an infinite sequence of concrete distinct non diagonal matrices A A2 An such that the vectors u and v are simultaneous eigenvectors for all An and write the corresponding eigenvalues for each An

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