# What is the determinant of the matrix, [ a b; c d] if [ a b; c d] +3[ -2 4; 2 -8] = [ -6 8; 1 3] ?

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- mizooLv 71 month ago
{{a,b},{c,d}} + 3{{-2,4},{2,-8}} = {{-6,8},{1,3}}

{{a,b},{c,d}} + {{-6,12},{6,-24}} = {{-6,8},{1,3}}

{{a,b},{c,d}} = {{-6,8},{1,3}} - {{-6,12},{6,-24}}

{{a,b},{c,d}} = {{0,-4},{-5,27}}

the determinant of |{0,-4},{-5,27}| = (-4 * -5) - (0 * 27) = -20

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