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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  • mizoo
    Lv 7
    1 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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