Let A=begin{bmatrix}-5 & -2 1 & 2 end{bmatrix} ,B=begin{bmatrix}-3 & -5 1 & 5 end{bmatrix} If possible , compute the following . If an answer does not exist , enter DNE. AB,BA-? True or False: AB=BA?

York 2021-01-07 Answered
Let A=[5212],B=[3515]
If possible , compute the following . If an answer does not exist , enter DNE.
AB,BA-?
True or False: AB=BA?
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lamusesamuset
Answered 2021-01-08 Author has 93 answers
Step 1
A=[5212],B=[3515]
AB=[5212][3515]
=[15225103+25+10]
=[131515]
Step 2
A=[5212],B=[3515]
BA=[3515]×[5212]
=[1556105+510+10]
=[10400]
Step 3
For every pair of square matrices A and B of the same size, ABBA,because matrix multiplication is not commutative.
Given statement in the question is False.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2495 answers

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