Given the matrices A and B shown below, find B + A.31501A=14B.1CTN4-1541

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Chang Peng · Answer 1 · 2023-11-19T19:04:43+0000

As we are adding 3x3 matrix, the result will be a 3x3 matrix (3 rows, 3 columns).

We can perform the sum as:

$\begin{gathered} A+B \\ \begin{bmatrix}{5} & {-4} & {0} \\ {-1} & {1} & {4} \\ {-4} & {-1} & {5}\end{bmatrix}+\begin{bmatrix}{-2} & {3} & {-1} \\ {-1} & {4} & {2} \\ {4} & {1} & {5}\end{bmatrix}=\begin{bmatrix}{5-2} & {-4+3} & {0-1} \\ {-1-1} & {1+4} & {4+2} \\ {-4+4} & {-1+1} & {5+5}\end{bmatrix}=\begin{bmatrix}{3} & {-1} & {-1} \\ {-2} & {5} & {6} \\ {0} & {0} & {10}\end{bmatrix} \end{gathered}$

Answer: 3x3 matrix

3 -1 -1

-2 5 6

0 0 10

Given the matrices A and B shown below, find B + A.31501A=14B.1CTN4-1541

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