Solve {cc}{-4}&{2}{-4}&{0}-{cc}{2}&{2}{-2}&{6}

$$\left( \begin{array} { c c } { - 4 } & { 2 } \\ { - 4 } & { 0 } \end{array} \right) - \left( \begin{array} { c c } { 2 } & { 2 } \\ { - 2 } & { 6 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}-6&0\\-2&-6\end{matrix}\right)$$

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.

$$\left(\begin{matrix}-4&2\\-4&0\end{matrix}\right)-\left(\begin{matrix}2&2\\-2&6\end{matrix}\right)$$

To subtract two matrices, subtract the corresponding elements.

$$\left(\begin{matrix}-4-2&2-2\\-4-\left(-2\right)&-6\end{matrix}\right)$$

Subtract 2 from -4.

$$\left(\begin{matrix}-6&2-2\\-4-\left(-2\right)&-6\end{matrix}\right)$$

Subtract 2 from 2.

$$\left(\begin{matrix}-6&0\\-4-\left(-2\right)&-6\end{matrix}\right)$$

Subtract -2 from -4.

$$\left(\begin{matrix}-6&0\\-2&-6\end{matrix}\right)$$

Calculate Determinant

$$36$$