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11 September, 19:36

What are the values of c and d in the matrix [[6,8],[-11,15]]-[[c+2,3],[-5, d-4]]=[[22,5],[-6,17]]

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  1. 11 September, 22:31
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    c = - 18

    d = 2

    Step-by-step explanation:

    [[6,8],[-11,15]]-[[c+2,3],[-5, d-4]]=[[22,5],[-6,17]]

    First we arrange the subtraction to clear the unknowns

    - [[c+2,3],[-5, d-4]] = [[22,5],[-6,17]] - [[6,8],[-11,15]]

    [[c+2,3],[-5, d-4]] = [[6,8],[-11,15]] - [[22,5],[-6,17]]

    Now we solve what can be done

    [[c+2,3],[-5, d-4]] = [[6-22, 8-5],[-11+6, 15-17]]

    [[c+2,3],[-5, d-4]] = [[-16, 3], [-5, - 2]

    we match each term with its corresponding one and we will obtain

    c + 2 = - 16 d - 4 = - 2

    c = - 16 - 2 d = - 2 + 4

    c = - 18 d = 2
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