Question

Given the following matrices, if possible, determine A+B+C. if not, state “not possible”

Answer 1

Given:

`\begin{gathered} A=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix} \\ B=\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix} \\ C=\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix} \end{gathered}`

Required:

To find A+B+C.

Step-by-step explanation:

Now the addition of given matrix is possible.

`A+B+C=\begin{bmatrix}{-5} & {1} & {} \\ {4} & {1} & {} \\ {4} & {-3} & {}\end{bmatrix}+\begin{bmatrix}{-2} & {10} & {} \\ {6} & {-3} & {} \\ {-7} & {-1} & {}\end{bmatrix}+\begin{bmatrix}{8} & {-1} & {} \\ {8} & {-10} & {} \\ {-3} & {-5} & {}\end{bmatrix}`
`=\begin{bmatrix}{-5-2+8} & {1+10-1} & {} & {} \\ {4+6+8} & {1-3-10} & {} & {} \\ {4-7-3} & {-3-1-5} & {} & {} \\ {} & {} & {} & {}\end{bmatrix}`
`=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}`

Final Answer:

`A+B+C=\begin{bmatrix}{1} & {10} & {} \\ {18} & {-12} & {} \\ {-6} & {-9} & {}\end{bmatrix}`