Answer:
Option x=-15 and y=15 is correct
Therefore the values are x=-15 and y=15
Step-by-step explanation:
Let A and B be the given matrices
Let [tex]A=\left|\begin{array}{ccc}-20&4&9\\16&0&-6\end{array}\right|[/tex]
and [tex]B=\left|\begin{array}{ccc}-5&-6&0\\1&7&11\end{array}\right|[/tex]
To find the subtraction of the matrix A and B
[tex]A-B=\left|\begin{array}{ccc}-20&4&9\\16&0&-6\end{array}\right|-\left|\begin{array}{ccc}-5&-6&0\\1&7&11\end{array}\right|[/tex]
[tex]=\left|\begin{array}{ccc}-20+5&4+6&9-0\\16-&0-7&-6-11\end{array}\right|[/tex]
[tex]=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]
Therefore [tex]A-B=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]
Therefore compare [tex]A-B=\left|\begin{array}{ccc}-15&10&9\\15&-7&-17\end{array}\right|[/tex]=[tex]\left|\begin{array}{ccc}x&10&9\\y&-7&-17\end{array}\right|[/tex]
We get x=-15 and y=15
Therefore the values are x=-15 and y=15
Option x=-15 and y=15 is correct
