Given the matrices A=begin{bmatrix}5 & 3 -3 & -1 -2 & -5 end{bmatrix} text{ and } B=begin{bmatrix}0 & -2 1 & 3 4 & -3 end{bmatrix} find the 3x2 matrix X that is a solution of the equation. 2X-A=X+B X=?

Emeli Hagan 2021-01-30 Answered
Given the matrices
A=[533125] and B=[021343]
find the 3x2 matrix X that is a solution of the equation. 2X-A=X+B
X=?
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Expert Answer

Bertha Stark
Answered 2021-01-31 Author has 96 answers

Given
2X-A=X+B
Add A on both sides
2X-A+A=X+B+A
2X=X+B+A
Subtract X from both sides
2XX=X+B+AX)
X=XX+B+A
X=B+A
=[021343]+[533125]
=[52+313314235]
=[512228]
Step 2
We have used basic matrix addition laws.

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Jeffrey Jordon
Answered 2022-01-27 Author has 2047 answers

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