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(1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper...

  1. (1) Write down a 3 × 3 matrix, call it A, which is not triangular (upper or lower) with nonzero deter- minant.

  2. (2) By performing one row operation, change your matrix A into a matrix B which has determinant 4. (If your matrix A already has determinant 4, change it to one with determinant 5.)

  3. (3) Compute AB and give the determinant of AB.

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