Solve Matrix

$$\left( \begin{array} { l l } { 5 } & { 3 } \\ { 6 } & { 2 } \end{array} \right) - \left( \begin{array} { c c } { 4 } & { 0 } \\ { 1 } & { - 2 } \end{array} \right)$$

Evaluate

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

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.

$$\left(\begin{matrix}5&3\\6&2\end{matrix}\right)-\left(\begin{matrix}4&0\\1&-2\end{matrix}\right)$$

To subtract two matrices, subtract the corresponding elements.

$$\left(\begin{matrix}5-4&3\\6-1&2-\left(-2\right)\end{matrix}\right)$$

Subtract 4 from 5.

$$\left(\begin{matrix}1&3\\6-1&2-\left(-2\right)\end{matrix}\right)$$

Subtract 1 from 6.

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

Subtract -2 from 2.

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

Calculate Determinant

$$-11$$