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

$$\left(\begin{matrix}-18&11\\-12&6\end{matrix}\right)$$

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.

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

To subtract two matrices, subtract the corresponding elements.

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

Subtract 23 from 5.

$$\left(\begin{matrix}-18&14-3\\-4-8&1-\left(-5\right)\end{matrix}\right)$$

Subtract 3 from 14.

$$\left(\begin{matrix}-18&11\\-4-8&1-\left(-5\right)\end{matrix}\right)$$

Subtract 8 from -4.

$$\left(\begin{matrix}-18&11\\-12&1-\left(-5\right)\end{matrix}\right)$$

Subtract -5 from 1.

$$\left(\begin{matrix}-18&11\\-12&6\end{matrix}\right)$$

Calculate Determinant

$$24$$