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

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

Evaluate

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

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.

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

To add two matrices, add the corresponding elements.

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

Add 2 to 2.

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

Add 5 to -1.

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

Add 4 to 1.

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

Calculate Determinant

$$8$$