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The matrix product AB=0, then...

The matrix product AB=0, then

A

`A=0 or B=0`

B

`A=0, B=0`

C

A is null matrix

D

None of these

Text Solution

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The correct Answer is:
D
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NIKITA PUBLICATION-MATRICES-MULTIPLE CHOICE QUESTIONS
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  2. Which is true about matrix multiplication?

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  3. The matrix product AB=0, then

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  7. If A and B are square matrices of order ntimesn, then (A-B)^(2)=

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  8. If A, B are two matrices and (A+B)(A-B)=A^(2)-B^(2), then

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  9. Which of the following is incorrect?

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  10. If A^(T), B^(T) are transpose of the square matrices A, B respectively...

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  11. Which of the following relations is incorrect?

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  12. Which one of the following statements is true?

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  13. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  14. If A=[[1, 1, 0], [2, 1, 5],[1, 2, 1]] and a(ij) denote the cofactor ...

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  15. If A=[[a(11), a(12), a(13)], [a(21), a(22), a(23)], [a(31), a(32), a(3...

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  16. If A and B are non-singular square matrices of same order then adj(AB)...

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  17. If A is a non-singular matrix of order n, then A(adj A)=

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  18. If A is a singular matrix of order n, then A(adjA)=

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  19. If A is a ntimesn matrix and |A|ne0, then adj(adjA)=

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  20. If A is a singular matrix of order n, then (adjA) is

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