Solve Matrix

$$\left( \begin{array} { r r } { - 4 } & { 0 } \\ { 5 } & { 4 } \\ { 9 } & { - 6 } \end{array} \right) + \left( \begin{array} { l l } { 8 } & { - 6 } \\ { 4 } & { - 2 } \\ { 2 } & { - 5 } \end{array} \right) =$$

Evaluate

$$\left(\begin{matrix}4&-6\\9&2\\11&-11\end{matrix}\right)$$

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.

$$\left(\begin{matrix}-4&0\\5&4\\9&-6\end{matrix}\right)+\left(\begin{matrix}8&-6\\4&-2\\2&-5\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}-4+8&-6\\5+4&4-2\\9+2&-6-5\end{matrix}\right)$$

Sum each element of the matrix.

$$\left(\begin{matrix}4&-6\\9&2\\11&-11\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}4&9&11\\-6&2&-11\end{matrix}\right)$$