Solve {cc}{5}&{14}{-4}&{1}+{cc}{23}&{3}{8}&{-5}

$$\left( \begin{array} { c c } { 5 } & { 14 } \\ { - 4 } & { 1 } \end{array} \right) + \left( \begin{array} { c c } { 23 } & { 3 } \\ { 8 } & { - 5 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}28&17\\4&-4\end{matrix}\right)$$

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.

$$\left(\begin{matrix}5&14\\-4&1\end{matrix}\right)+\left(\begin{matrix}23&3\\8&-5\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}5+23&14+3\\-4+8&1-5\end{matrix}\right)$$

Add 5 to 23.

$$\left(\begin{matrix}28&14+3\\-4+8&1-5\end{matrix}\right)$$

Add 14 to 3.

$$\left(\begin{matrix}28&17\\-4+8&1-5\end{matrix}\right)$$

Add -4 to 8.

$$\left(\begin{matrix}28&17\\4&1-5\end{matrix}\right)$$

Add 1 to -5.

$$\left(\begin{matrix}28&17\\4&-4\end{matrix}\right)$$

Calculate Determinant

$$-180$$