Question: Show that 3 3 determinants can be computed using the diagonal rule: Repeat the first two columns of the matrix and form the products

Show that 3 × 3 determinants can be computed using the diagonal rule: Repeat the first two columns of the matrix and form the products of the numbers along the six diagonals indicated. Then add the products for the diagonals that slant from left to right and subtract the products for the diagonals that slant from right to left.

det(A) = a21 Ugg dg aga22 + = a11a22a33 + a12a23a31 + a13a21a32 - a 13a22a31 - a11a23a 32 - a12a21933

det(A) = a21 Ugg dg aga22 + = a11a22a33 + a12a23a31 + a13a21a32 - a13a22a 31 - a11a23a32a12a21933

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