Solve {cc}{1}&{-1}{2}&{4}+{cc}{-2}&{3}{5}&{1}

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

Evaluate

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

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.

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

To add two matrices, add the corresponding elements.

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

Add 1 to -2.

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

Add -1 to 3.

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

Add 2 to 5.

$$\left(\begin{matrix}-1&2\\7&4+1\end{matrix}\right)$$

Add 4 to 1.

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

Calculate Determinant

$$-19$$