Solve {cc}{-4}&{0}{5}&{4}{9}&{-6}+{cc}{6}&{4}{-4}&{10}{0}&{2}=

$$\left( \begin{array} { c c } { - 4 } & { 0 } \\ { 5 } & { 4 } \\ { 9 } & { - 6 } \end{array} \right) + \left( \begin{array} { c c } { 6 } & { 4 } \\ { - 4 } & { 10 } \\ { 0 } & { 2 } \end{array} \right) =$$

Evaluate

$$\left(\begin{matrix}2&4\\1&14\\9&-4\end{matrix}\right)$$

Steps Using Rules for Matrix Arithmetic

You can add or subtract two matrices only if both matrices have the same number of rows and columns.

$$\left(\begin{matrix}-4&0\\5&4\\9&-6\end{matrix}\right)+\left(\begin{matrix}6&4\\-4&10\\0&2\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}-4+6&4\\5-4&4+10\\9&-6+2\end{matrix}\right)$$

Sum each element of the matrix.

$$\left(\begin{matrix}2&4\\1&14\\9&-4\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}2&1&9\\4&14&-4\end{matrix}\right)$$