Show that B is the multiplicative inverse of A, where: A=begin{bmatrix}2 & 1 1 & 1 end{bmatrix} text{ and } B=begin{bmatrix}1 & -1 -1 & 2 end{bmatrix}

emancipezN 2021-01-23 Answered
Show that B is the multiplicative inverse of A, where:
A=[2111] and B=[1112]
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Expert Answer

Arham Warner
Answered 2021-01-24 Author has 102 answers

Step 1
Here given matrices
A=[2111] and B=[1112]
Step 2
If B is the multiplicative inverse of A, then
AB=I(identity)
Now find
AB=[2111][1112]=[212+2111+2]=[1001]=I
Therefore
B is the multiplicative inverse of A.

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Jeffrey Jordon
Answered 2022-01-29 Author has 2047 answers

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