### Question Description

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 = I_{3}; B = A

B. AB = I_{3}; BA = I_{3}; B = A^{-1}

C. AB = I; AB = I_{3}; B = A^{-1}

D. AB = I_{3}; BA = I_{3}; A = B^{-1}

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## Explanation & Answer

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)