Solve Matrix

$$\left( \begin{array} { l l } { 1 } & { 3 } \\ { 2 } & { 1 } \\ { 5 } & { 0 } \end{array} \right) + \left( \begin{array} { c c } { - 2 } & { 1 } \\ { - 1 } & { - 2 } \\ { - 5 } & { 3 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}-1&4\\1&-1\\0&3\end{matrix}\right)$$

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.

$$\left(\begin{matrix}1&3\\2&1\\5&0\end{matrix}\right)+\left(\begin{matrix}-2&1\\-1&-2\\-5&3\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}1-2&3+1\\2-1&1-2\\5-5&3\end{matrix}\right)$$

Sum each element of the matrix.

$$\left(\begin{matrix}-1&4\\1&-1\\0&3\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}-1&1&0\\4&-1&3\end{matrix}\right)$$