Solve Matrix

$$\left( \begin{array} { c c } { 2 } & { 2 } \\ { - 1 } & { 3 } \end{array} \right) + \left( \begin{array} { l l } { 4 } & { 1 } \\ { 6 } & { 5 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}6&3\\5&8\end{matrix}\right)$$

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.

$$\left(\begin{matrix}2&2\\-1&3\end{matrix}\right)+\left(\begin{matrix}4&1\\6&5\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}2+4&2+1\\-1+6&3+5\end{matrix}\right)$$

Add 2 to 4.

$$\left(\begin{matrix}6&2+1\\-1+6&3+5\end{matrix}\right)$$

Add 2 to 1.

$$\left(\begin{matrix}6&3\\-1+6&3+5\end{matrix}\right)$$

Add -1 to 6.

$$\left(\begin{matrix}6&3\\5&3+5\end{matrix}\right)$$

Add 3 to 5.

$$\left(\begin{matrix}6&3\\5&8\end{matrix}\right)$$

Calculate Determinant

$$33$$