Let A=begin{bmatrix}2 & -1&5 -3 & 4&0 end{bmatrix} text{ and } B=begin{bmatrix}-3 & -4&2 -1 & 0&-5 end{bmatrix} Find each result. 3A+2B=? A-3B=?

Cabiolab 2020-10-27 Answered
Let A=[215340] and B=[342105]
Find each result.
3A+2B=?
A-3B=?
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Expert Answer

Layton
Answered 2020-10-28 Author has 89 answers
Step 1
We have to find 3A+2B and A-3B where
A=[215340] and B=[342105]
In matrix if we multiply by any scalar then it get multiply in all the elements of the matrix example:
2[abcd]=[2a2b2c2d]
And the operation of matrices will be in corresponding entities of the matrices.
So finding 3A+2B,
3A+2B=3[215340]+2[342105]
=[63159120]+[6842010]
=[01119111210]
Hence, value of 3A+2B is [01119111210]
Step 2
Finding A−3B,
A3B=[215340]3[342105]
=[215340]+[91263015]
=[2(9)1(12)563(3)400(15)]
=[2+91+1213+340+15]
=[111110415]
Hence, value of A-3B is [111110415]
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Jeffrey Jordon
Answered 2022-01-24 Author has 2064 answers

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