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

lwfrgin

Answered question

2021-01-31

Find the products AB and BA to determine whether B is the multiplicative inverse of A.
A=[4013],B=[2401]

Answer & Explanation

Yusuf Keller

Yusuf Keller

Skilled2021-02-01Added 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.
Jeffrey Jordon

Jeffrey Jordon

Expert2022-01-27Added 2605 answers

Answer is given below (on video)

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?