Answer:
[tex]\textsf{C)}\quad \left[\begin{array}{cc}2&1\\2&-2\\9&-4\end{array}\right][/tex]
Step-by-step explanation:
To add or subtract matrices, simply combine or subtract corresponding elements of the same position in each matrix, respectively.
Given:
[tex]A=\left[\begin{array}{cc}3&5\\-2&1\\6&0\end{array}\right][/tex]
[tex]B=\left[\begin{array}{cc}-2&4\\-3&5\\0&4\end{array}\right][/tex]
[tex]C=\left[\begin{array}{cc}-3&0\\1&2\\3&0\end{array}\right][/tex]
Therefore:
[tex]A-B+C=\left[\begin{array}{cc}3-(-2)+(-3)&5-4+0\\-2-(-3)+1&1-5+2\\6-0+3&0-4+0\end{array}\right][/tex]
[tex]A-B+C=\left[\begin{array}{cc}2&1\\2&-2\\9&-4\end{array}\right][/tex]
