Solve Matrix

$$\left( \begin{array} { l l } { 1 } & { 2 } \\ { - 1 } & { 0 } \end{array} \right) + \left( \begin{array} { l l } { 3 } & { - 1 } \\ { 5 } & { 4 } \end{array} \right)$$

Evaluate

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

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.

$$\left(\begin{matrix}1&2\\-1&0\end{matrix}\right)+\left(\begin{matrix}3&-1\\5&4\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

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

Add 1 to 3.

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

Add 2 to -1.

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

Add -1 to 5.

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

Calculate Determinant

$$12$$