simplify the following matrix expression: begin{bmatrix}1 & 5 2 & -3-3&7 end{bmatrix}-2begin{bmatrix}2 & -3 8 & 5-1&-1 end{bmatrix}=?

ruigE 2021-02-08 Answered
simplify the following matrix expression:
[152337]2[238511]=?
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Expert Answer

Aniqa O'Neill
Answered 2021-02-09 Author has 100 answers
Step 1
Given that:
|152337|2|238511|
To find:
We have to simplify the given expression.
First we find:
2|238511|
In this multiplication each entry in the matrix is multiplied by the scalar 2.
2|238511|=|2(2)2(3)2(8)2(5)2(1)2(1)|
2|238511|=|46161022|
Step 2
|152337|2|238511|=|152337||46161022|
Now we substracting this two matrices.
Here the order of matrices is same.
So, the difference between this two matrices is obtained by substracting the corresponding elements of the matrices.
We get,
|152337|2|238511|=|145(6)2163103(2)7(2)|
=|35+614133+27+2|
|152337|2|238511|=|311141319|
Hence the solution.
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Jeffrey Jordon
Answered 2022-01-23 Author has 2064 answers

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