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Let A,B ∈ M3(R) with |A| = 4 and |B| = −3. Evaluate (a) |AB|, (b)...

Let A,B ∈ M3(R) with |A| = 4 and |B| = −3.

Evaluate (a) |AB|, (b) |5A|, (c) |BT|, (d) |A−1|, (e) |A3|, (f) |ATA|, (g) |B−1AB|.

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