Solve {rrr}{1}&{-3}&{2}{-5}&{2}&{0}{0}&{-1}&{3}+{lll}{2}&{2}&{2}{-2}&{2}&{2}{-2}&{-2}&{2}

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

Evaluate

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

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.

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

To add two matrices, add the corresponding elements.

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

Sum each element of the matrix.

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

Calculate Determinant

$$163$$