Solve {ccc}{4}&{-1}&{3}{2}&{1}&{6}{-2}&{-1}&{1}-{ccc}{2}&{3}&{4}{0}&{3}&{0}{-3}&{-2}&{1}

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

Evaluate

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

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.

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

To subtract two matrices, subtract the corresponding elements.

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

Take the difference of each element of the matrix.

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

Calculate Determinant

$$-40$$