Question
Prove that the determinant of a $3 \times 3$ matrix with integer entries is an integer.
Step 1
Let's call this matrix A. \[ A = \begin{bmatrix} 1 & 3 & 2 \\ 4 & 21 & 24 \\ 0 & 2 & 6 \end{bmatrix} \] Show more…
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