Answer:
[tex]\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right][/tex]
Step-by-step 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"
[tex]\left[\begin{array}{cc}1-230&380\\-170&60\\end{array}\right][/tex][tex]\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right][/tex]
Such modification gets reflected in the second matrix listed among the possible answers.
