Solve Matrix

$$\left( \begin{array} { l l } { 1 } & { 3 } \\ { 5 } & { 7 } \end{array} \right) + \left( \begin{array} { l l } { 2 } & { 3 } \\ { 6 } & { 3 } \end{array} \right) =$$

Evaluate

$$\left(\begin{matrix}3&6\\11&10\end{matrix}\right)$$

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.

$$\left(\begin{matrix}1&3\\5&7\end{matrix}\right)+\left(\begin{matrix}2&3\\6&3\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}1+2&3+3\\5+6&7+3\end{matrix}\right)$$

Add 1 to 2.

$$\left(\begin{matrix}3&3+3\\5+6&7+3\end{matrix}\right)$$

Add 3 to 3.

$$\left(\begin{matrix}3&6\\5+6&7+3\end{matrix}\right)$$

Add 5 to 6.

$$\left(\begin{matrix}3&6\\11&7+3\end{matrix}\right)$$

Add 7 to 3.

$$\left(\begin{matrix}3&6\\11&10\end{matrix}\right)$$

Calculate Determinant

$$-36$$