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Show that the inverse matris has all integer entries if A is a 2 x 2 matrix with integer entries.

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.

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Solution Summary

This provides a proof regarding integer entries in a matrix. This solution is attached as a Word document.

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