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Show that a^-1 has all integer entries

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Reference no: EM131025187

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.

Reference no: EM131025187

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