Find the products AB and BA to determine whether B is the multiplicative inverse of A. A=begin{bmatrix}-4 & 0 1 & 3 end{bmatrix}, B=begin{bmatrix}-2 & 4 0 & 1 end{bmatrix}

lwfrgin 2021-01-31 Answered
Find the products AB and BA to determine whether B is the multiplicative inverse of A.
A=[4013],B=[2401]
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Expert Answer

Yusuf Keller
Answered 2021-02-01 Author has 90 answers
Given
A=[4013],B=[2401]
Now,
AB=[4013][2401]
=[4(2)+0(0)4(4)+0(1)1(2)+3(0)1(4)+3(1)]
=[81627]
Step 2
BA=[2401][4013]
=[2(4)+4(1)2(0)+4(3)0(4)+1(1)0(0)+1(3)]
=[121213]
Clearly the products AB and BA are not identity matrices, therefore B is not the multiplicative inverse of A.
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Jeffrey Jordon
Answered 2022-01-27 Author has 2064 answers

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