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B.) | 12, 7, 17, -22 |

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The complete question is attached below:

What is matrix ?

A set of numbers arranged in rows and columns so as to form a rectangular array.

Given:

[tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right]* \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

  [ 12x - 13 y

   17x - 22y ]     =  [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex]

As we need to find Ay for that the matrix on RHS of equal sign [tex]\left[\begin{array}{ccc}7\\-51\end{array}\right][/tex] is to be putted in the matrix  [tex]\left[\begin{array}{ccc}12&-13\\17&-22\end{array}\right][/tex]  

Hence, Ay = [tex]\left[\begin{array}{ccc}12&7\\17 & -51\end{array}\right][/tex]

Learn more about matrix here:

https://brainly.com/question/9967572

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