Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 month ago

Given the following Matrix find A^3?

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3 Answers

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  • ?
    Lv 7
    1 month ago

    See work and solution below

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  • JOHN
    Lv 7
    1 month ago

    A²: 1st row (25.....-4), 2nd row (0.....16)

    A³: ist row (125....-84), 2nd row (0.....-64).

  • Alan
    Lv 7
    1 month ago

    Matrix multiplication

    is ROW to Column

    A^2 =

    [ 5 -4 ::::::: [ 5 -4

    0 -4 ] :::: X :: 0 -4 ]

    =

    [

    (5*5 + 4*0) (5*-4)+ ( -4 * -4)

    (0*5 + 4*0) + (0*-4 + -4*-4) ]

    =

    [ 25 -4

    0 16 ]

    so multiply this by A again

    [ 25 -4 ::::::: [ 5 -4

    0 16 ] X 0 -4]

    =

    [ (25*5 + -4*0) (25*-4 + -4*-4)

    (0*5 +16*0 ) + 0*-4 + 16*-4 ]

    A^3 =

    [ 125 -86

    0 -64 ]

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