Solve {cc}{5}&{2}{4}&{9}{10}&{-3}+{cc}{-11}&{0}{7}&{1}{-6}&{-8}

$$\left( \begin{array} { c c } { 5 } & { 2 } \\ { 4 } & { 9 } \\ { 10 } & { - 3 } \end{array} \right) + \left( \begin{array} { c c } { - 11 } & { 0 } \\ { 7 } & { 1 } \\ { - 6 } & { - 8 } \end{array} \right)$$

Evaluate

$$\left(\begin{matrix}-6&2\\11&10\\4&-11\end{matrix}\right)$$

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.

$$\left(\begin{matrix}5&2\\4&9\\10&-3\end{matrix}\right)+\left(\begin{matrix}-11&0\\7&1\\-6&-8\end{matrix}\right)$$

To add two matrices, add the corresponding elements.

$$\left(\begin{matrix}5-11&2\\4+7&9+1\\10-6&-3-8\end{matrix}\right)$$

Sum each element of the matrix.

$$\left(\begin{matrix}-6&2\\11&10\\4&-11\end{matrix}\right)$$

Transpose Matrix

$$\left(\begin{matrix}-6&11&4\\2&10&-11\end{matrix}\right)$$