Answer:
![\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-230%26380%5C%5C-170%2660%5Cend%7Barray%7D%5Cright%5D)
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"
![\left[\begin{array}{cc}1-230&380\\-170&60\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D1-230%26380%5C%5C-170%2660%5C%5Cend%7Barray%7D%5Cright%5D)
![\left[\begin{array}{cc}-230&380\\-170&60\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-230%26380%5C%5C-170%2660%5Cend%7Barray%7D%5Cright%5D)
Such modification gets reflected in the second matrix listed among the possible answers.