Minors {signed minor} {cofactor}| can have sign. Sign depends on sum of element row and column positions. If element is in row and column whose sum is odd, sign is -1. If element is in row and column whose sum is even, sign is +1. For determinant |a b / c d|, a's signed minor is +d, because element a has row 1 and column 1, which sum to 2, which is even. b's signed minor is -c, because element b has row 1 and column 2, which sum to 3, which is odd. Therefore, determinant value is a*d - b*c.
Mathematical Sciences>Algebra>Equation>System>Determinant
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Date Modified: 2022.0224