Solve {ccc}{2}&{4}&{7}{-8}&{3}&{-1}-{ccc}{-2}&{0}&{1}{3}&{4}&{7}

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

Evaluate

$$\left(\begin{matrix}4&4&6\\-11&-1&-8\end{matrix}\right)$$

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.

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

To subtract two matrices, subtract the corresponding elements.

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

Take the difference of each element of the matrix.

$$\left(\begin{matrix}4&4&6\\-11&-1&-8\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}4&-11\\4&-1\\6&-8\end{matrix}\right)$$