Solve {ccc}{0}&{15}&{24}{0}&{-15}&{18}{6}&{27}&{0}-{ccc}{2}&{2}&{2}{2}&{2}&{-1}{2}&{-2}&{2}

$$\left( \begin{array} { c c c } { 0 } & { 15 } & { 24 } \\ { 0 } & { - 15 } & { 18 } \\ { 6 } & { 27 } & { 0 } \end{array} \right) - \left( \begin{array} { c c c } { 2 } & { 2 } & { 2 } \\ { 2 } & { 2 } & { - 1 } \\ { 2 } & { - 2 } & { 2 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}-2&13&22\\-2&-17&19\\4&29&-2\end{matrix}\right)$$

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.

$$\left(\begin{matrix}0&15&24\\0&-15&18\\6&27&0\end{matrix}\right)-\left(\begin{matrix}2&2&2\\2&2&-1\\2&-2&2\end{matrix}\right)$$

To subtract two matrices, subtract the corresponding elements.

$$\left(\begin{matrix}-2&15-2&24-2\\-2&-15-2&18-\left(-1\right)\\6-2&27-\left(-2\right)&-2\end{matrix}\right)$$

Take the difference of each element of the matrix.

$$\left(\begin{matrix}-2&13&22\\-2&-17&19\\4&29&-2\end{matrix}\right)$$

Calculate Determinant

$$2190$$