Solve {rr}{6}&{7}{-5}&{2}+{rr}{-4}&{-5}{1}&{3}=

$$\left( \begin{array} { r r } { 6 } & { 7 } \\ { - 5 } & { 2 } \end{array} \right) + \left( \begin{array} { r r } { - 4 } & { - 5 } \\ { 1 } & { 3 } \end{array} \right) =$$

Evaluate

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

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.

$$\left(\begin{matrix}6&7\\-5&2\end{matrix}\right)+\left(\begin{matrix}-4&-5\\1&3\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}6-4&7-5\\-5+1&2+3\end{matrix}\right)$$

Add 6 to -4.

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

Add 7 to -5.

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

Add -5 to 1.

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

Add 2 to 3.

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

Calculate Determinant

$$18$$