Solve {ccc}{3}&{4}&{7}{8}&{9}&{1}{2}&{0}&{-5}-{rrr}{4}&{5}&{-9}{-9}&{8}&{-6}{1}&{2}&{5}

$$\left( \begin{array} { c c c } { 3 } & { 4 } & { 7 } \\ { 8 } & { 9 } & { 1 } \\ { 2 } & { 0 } & { - 5 } \end{array} \right) - \left( \begin{array} { r r r } { 4 } & { 5 } & { - 9 } \\ { - 9 } & { 8 } & { - 6 } \\ { 1 } & { 2 } & { 5 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}-1&-1&16\\17&1&7\\1&-2&-10\end{matrix}\right)$$

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.

$$\left(\begin{matrix}3&4&7\\8&9&1\\2&0&-5\end{matrix}\right)-\left(\begin{matrix}4&5&-9\\-9&8&-6\\1&2&5\end{matrix}\right)$$

To subtract two matrices, subtract the corresponding elements.

$$\left(\begin{matrix}3-4&4-5&7-\left(-9\right)\\8-\left(-9\right)&9-8&1-\left(-6\right)\\2-1&-2&-5-5\end{matrix}\right)$$

Take the difference of each element of the matrix.

$$\left(\begin{matrix}-1&-1&16\\17&1&7\\1&-2&-10\end{matrix}\right)$$

Calculate Determinant

$$-741$$