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Matrices A and B will be inverse of each...

Matrices A and B will be inverse of each other only if (A) `A B" "=" "B A` (B) `A B" "=" "B A" "=" "0` (C) `A B" "=" "0," "B A" "=" "I` (D) `A B" "=" "B A" "=" "I`

A

AB = BA

B

AB = BA = 0

C

AB = 0, BA = I

D

AB = BA = I

Text Solution

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The correct Answer is:
D
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NCERT GUJARATI-MATRICES-EXERCISE 3.4
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  2. Using elementary transformations, find the inverse of the matrix[2 1 ...

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  3. Using elementary transformations, find the inverse of the matrix[1 3 ...

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  4. Using elementary transformations, find the inverse of the matrices ...

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  5. Using elementary transformations, find the inverse of the matrices

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  6. Using elementary transformations, find the inverse of the matrices[2 ...

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  7. Using elementary transformations, find the inverse of the matrix [3...

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  8. Using elementary transformations, find the inverse of the matrix[4 5 ...

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  9. Using elementary transformations, find the inverse of each of the mat...

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  10. Using elementary transformations, find the inverse of the matrices ...

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  11. Using elementary transformations, find the inverse of each of the mat...

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  12. Using elementary transformations, find the inverse of the matrix [6...

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  13. Using elementary transformations, find the inverse of the matrix[2-3-...

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  14. Using elementary transformations, find the inverse of the matrices ...

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  15. Using elementary transformations, find the inverse of the matrices [...

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  16. Using elementary transformations, find the inverse of the matrix[1 3-...

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  17. Using elementary transformations, find the inverse of the matrices [...

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  18. Matrices A and B will be inverse of each other only if (A) A B" "="...

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