Given the matrices A=begin{bmatrix}-1 & 3 2 & -1 3&1 end{bmatrix} text{ and } B=begin{bmatrix}0 & -2 1 & 3 4 & -3 end{bmatrix} find the 3 times 2 matrix X that is a solution of the equation. 8X+A=B

Kye

Kye

Answered question

2021-02-02

Given the matrices
A=[132131] and B=[021343] find the 3×2 matrix X that is a solution of the equation. 8X+A=B

Answer & Explanation

Talisha

Talisha

Skilled2021-02-03Added 93 answers

Step 1
Given that :
The matrices ,
A=[132131] and B=[021343]
The equation is 8x + A = B
Step 2
By using,
Subtraction of matrix is possible by subtracting the element of another matrix if they have the same order.
So, the difference between two matrices is obtained by subtracting the corresponding elements of the given matrices.
In scalar multiple, each entry in the matrix is multiplied by the given scalar.
Step 3
To find matrix X:
consider ,
8X+A=B
Solve for X
8X=B-A
X=18[BA]
then,
Step 4
X=18[[021343][132131]]
=18[0(1)23123(1)4331]
=18[151414]
=[185818481848]
Step 5
=[185818481848]
X=[185818481848]
Step 6
Therefore,
The 3×2 matrix X is the solution of the equation 8X+A=B is, X=[185818481848]
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-24Added 2605 answers

Answer is given below (on video)

Jeffrey Jordon

Jeffrey Jordon

Expert2022-08-23Added 2605 answers

Answer is given below (on video)

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