Solve {ll}{2}&{3}{5}&{4}-{lll}{0}&{3}{1}&{5}

$$\begin{bmatrix} \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \end{bmatrix} - \begin{bmatrix} \begin{array} { l l l } { 0 } & { 3 } \\ { 1 } & { 5 } \end{array} \end{bmatrix}$$

Evaluate

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

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.

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

To subtract two matrices, subtract the corresponding elements.

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

Subtract 3 from 3.

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

Subtract 1 from 5.

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

Subtract 5 from 4.

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

Calculate Determinant

$$-2$$