• anonymous
2. Suppose that A is an n×n matrix with integer entries, and that A is invertible. Since A is invertible, we can compute the matrix A^−1. The computations seem much cleaner (and friendlier) when A^−1 also has only integer entries. The purpose of this question is to figure out when that can happen. Prove: That (if A is an invertible n × n matrix, with only integer entries) A^−1 has integer entries if and only if det(A) = ±1 (where “= ±1” means equals 1 or equals −1). Reminder: Since this is an “if and only if”, don’t forget that means that you have two directions to prove.
Mathematics
• Stacey Warren - Expert brainly.com
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SOLVED
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