2 Answers

Ehontz · Answer 1 · 2021-09-29T17:15:33+0000

Answer:

$\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]$

Explanation:

Notice that you are being asked to perform the product of a scalar (the number "-10" times a 2 by 2 matrix.

Such type of product requires the multiplication of each element of the matrix by the scalar "-10"

That means that the element 23 gets transformed into "-230"

The element -38 gets transformed into "380"

The element 17 gets transformed into "-170"

and lastly, the element -6 gets transformed into "60"

$\left[\begin{array}{cc}1-230&380\\-170&60\\end{array}\right]$
$\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]$

Such modification gets reflected in the second matrix listed among the possible answers.

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