Find the products AB and BA to determine whether B is the multiplicative inverse

Algebra
Tutor: None Selected Time limit: 1 Day

Find the products AB and BA to determine whether B is the multiplicative inverse of A.

A= 0, 1, 0

 0, 0, 1

  1, 0, 0

B= 0, 0,1

 1, 0, 0

  0, 1, 0

A. AB = I; BA = I3; B = A

B. AB = I3; BA = I3; B = A-1

C. AB = I; AB = I3; B = A-1

D. AB = I3; BA = I3; A = B-1

Jun 3rd, 2015

Thank you for the opportunity to help you with your question!

AB=

BA=

So correct choice is D. AB = I3; BA = I3; A = B^(-1)

Please let me know if you need any clarification. I'm always happy to answer your questions.
Jun 3rd, 2015

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