Question

Find A+B A=begin{bmatrix}7 & -1 2 & 9 -7 & -8 end{bmatrix} ,B=begin{bmatrix}2 & 5 -9 &0 8 & 6 end{bmatrix} a) begin{bmatrix}5 & 4 11 & 9 -15 & -2 end{

Matrices
ANSWERED
asked 2021-01-13
Find A+B
\(A=\begin{bmatrix}7 & -1 \\2 & 9 \\ -7 & -8 \end{bmatrix} ,B=\begin{bmatrix}2 & 5 \\-9 &0 \\ 8 & 6 \end{bmatrix}\)
a) \(\begin{bmatrix}5 & 4 \\11 & 9 \\ -15 & -2 \end{bmatrix}\)
b) \(\begin{bmatrix}5 & -6 \\11 &9 \\ -15 & -14 \end{bmatrix}\)
c) \(\begin{bmatrix}9 & -6 \\-7 & 9 \\ 1 & -14 \end{bmatrix}\)
d) \(\begin{bmatrix}9 & 4 \\-7 &9 \\ 1 & -2 \end{bmatrix}\)

Expert Answers (1)

2021-01-14
Step 1
given two matrices are
\(A=\begin{bmatrix}7 & -1 \\2 & 9 \\ -7 & -8 \end{bmatrix} \text{ and }B=\begin{bmatrix}2 & 5 \\-9 &0 \\ 8 & 6 \end{bmatrix}\)
now we have to find A +B
Step 2
using the addition property of matrices
\(A+B=\begin{bmatrix}7 & -1 \\2 & 9 \\ -7 & -8 \end{bmatrix} + \begin{bmatrix}2 & 5 \\-9 &0 \\ 8 & 6 \end{bmatrix} =\begin{bmatrix}7+2 & -1+5 \\2-9 & 9+0 \\ -7+8 & -8+6 \end{bmatrix} = \begin{bmatrix}9 & 4 \\-7 & 9 \\ 1 & -2 \end{bmatrix}\)
here option d) is correct
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