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If A= (shown below) and B=(shown below) , find -7A-6B

If A= (shown below) and B=(shown below) , find -7A-6B-example-1

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7 votes

Answer:

[ 40 -106 -32 ]

-7A - 6B = [ -46 43 25 ]

[ 82 -62 -18 ]

Explanation:

First we have to understand how this account is done, when a constant multiplies a matrix, you have to multiply each of the elements of that matrix by the constant.

and when a matrix A is subtracted from a matrix B, each element of matrix A is subtracted from the corresponding element of matrix B

[ -10 10 8 ] [ 5 6 -4 ]

A = [ -2 -1 5 ] B = [ 10 -6 -10 ]

[ -4 8 -6 ] [ -9 1 10 ]

[ -7(-10) -7(10) -7(8) ] [ 70 -70 -56 ]

-7A = [ -7(-2) -7(-1) -7(5) ] -7A = [ 14 7 -35 ]

[ -7(-4) -7(8) -7(-6) ] [ 28 -56 42 ]

[ 6(5) 6(6) 6(-4) ] [ 30 36 -24 ]

6B = [ 6(10) 6(-6) 6(-10) ] 6B = [ 60 -36 -60 ]

[ 6(-9) 6(1) 6(10) ] [ -54 6 60 ]

[ (70-30) (-70-36) (-56+24) ]

-7A - 6B = [ (14-60) (7+36) (-35+60) ]

[ (28+54) (-56-6) (42-60) ]

[ 40 -106 -32 ]

-7A - 6B = [ -46 43 25 ]

[ 82 -62 -18 ]

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