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3. Let A be a 2 x 2 matrix with integer entries.
a. Suppose D(A_1, A_2) = +/- 1. Show that A^-1 has all integer entries.
b. Conversely, suppose A and A^-1 are both matrices with integer entries. Prove that D(A_1, A_2) = +/- 1.
Suppose that w is an eigenvector of A with eigenvalue β. Find an eigenvector for B which has the same eigenvalue β.
Find the solution for y
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