Matrix Properties: Examples

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det([a1 a2 a3; b1 b2 b3; c1 c2 c3]) = a1*b2*c3 -a1*b3*c2 -a2*b1*c3 +a2*b3*c1 +a3*b1*c2 -a3*b2*c1

Note that within individual terms, the row index always goes in ascending order while the column index follows each of the 6 possible permutations of three digits.

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