Solve {cc}{3}&{-2}{1}&{7}+{cc}{0}&{5}{2}&{-1}

$$\left( \begin{array} { c c } { 3 } & { - 2 } \\ { 1 } & { 7 } \end{array} \right) + \left( \begin{array} { c c } { 0 } & { 5 } \\ { 2 } & { - 1 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}3&3\\3&6\end{matrix}\right)$$

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.

$$\left(\begin{matrix}3&-2\\1&7\end{matrix}\right)+\left(\begin{matrix}0&5\\2&-1\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

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

Add -2 to 5.

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

Add 1 to 2.

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

Add 7 to -1.

$$\left(\begin{matrix}3&3\\3&6\end{matrix}\right)$$

Calculate Determinant

$$9$$