Solve Matrix

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

Evaluate

$$\left(\begin{matrix}5&4\\10&5\end{matrix}\right)$$

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.

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

To add two matrices, add the corresponding elements.

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

Add 3 to 2.

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

Add 1 to 3.

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

Add 5 to 5.

$$\left(\begin{matrix}5&4\\10&4+1\end{matrix}\right)$$

Add 4 to 1.

$$\left(\begin{matrix}5&4\\10&5\end{matrix}\right)$$

Calculate Determinant

$$-15$$