Solve Matrix

$$\left( \begin{array} { r r } { 1 } & { 1 } \\ { - 3 } & { 2 } \end{array} \right) - \left( \begin{array} { l l } { 2 } & { 2 } \\ { 1 } & { 2 } \end{array} \right)$$

Evaluate

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

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.

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

To subtract two matrices, subtract the corresponding elements.

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

Subtract 2 from 1.

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

Subtract 2 from 1.

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

Subtract 1 from -3.

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

Subtract 2 from 2.

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

Calculate Determinant

$$-4$$