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I WOULD APPRECIATE IT IF SOMEONE HELPED ME UNDERSTAND ADDITION AND SCALAR MULTIPLICATION OF MATRICES ALONG WITH THE ANSWER TO THIS THANK YOU

I WOULD APPRECIATE IT IF SOMEONE HELPED ME UNDERSTAND ADDITION AND SCALAR MULTIPLICATION-example-1

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Explanation:

scalar multiplication is simply done by multiplying every term of the matrix by the factor.

-1/5 A =

-5×-1/5 -15×-1/5 10×-1/5

-30×-1/5 20×-1/5 -25×-1/5

=

1 3 -2

6 -4 5

for the addition of 2 matrices imagine that each one is on a transparent slide, and you simply move both slides on top of each other, and you add all numbers for a position, that overlap each other for that position.

so,

-1/5 × A + B =

1+4 3+5 -2+ -7

6+7 -4+0 5+ -5

=

5 8 -9

13 -4 0

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