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For any two matrices A and B we have...

For any two matrices A and B we have

A

AB = BA

B

`AB ne BA`

C

AB = 0

D

none of these

Text Solution

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The correct Answer is:
D
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BETTER CHOICE PUBLICATION-MATRICES-Previous years Board Questions for practice
  1. For any two matrices A and B we have

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  2. If A = [(1,2),(3,-4)] , B = [(4,3),(2,1)] verify that (AB)' = B' A'

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  3. If A = [(1),(3),(6)], B = [(2,4,5)] then verify that (AB)' = B'A'

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  4. Express the matrix A as sum of symmetric and skew symmetric matrix ...

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  5. By using elementary transformation find the inverse of matrix A = ...

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  6. By elementary transformation find the inverse of following [(3,10)...

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  7. Using elementary transformation find the inverse of [(2,3),(3,-2)]

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  8. Show that A + A' is symmetric matrix where A = [(1,5),(6,7)]

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  9. If A and B are symmetric matrices of same order then AB - BA is a :

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  10. If A = [(1,-2),(-3,4)] , find - A^(2) + 5 A

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  11. If A = [(2,-2),(-3,4)] , find - A^(2) + 6 A

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  12. If A = [(3,-2),(4,-2)] , I = [(1,0),(0,1)] , then Prove that A^(2) ...

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  13. If A = [(1,0),(-1,7)] and I = [(1,0),(0,1)] , then find k so that A...

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  14. Find a 2xx2 order matrix B such that [[2,3],[0,1]] B=[[12,11],[2,1]]

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  15. If A = [(2,3),(4,5)] , B =[(1,2),(4,6)], then verify that (AB)' = B'...

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  16. If A = [(3,4),(4,5)] , B = [(5,3),(2,1)] then verify that (AB)' = B' ...

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  17. If A = [(2,4),(3,5)] and B = [(5,4),(3,2)] then verify that (AB)' = B...

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  18. Express the matrix A = [(-2,3,1),(1,3,2),(5,-4,5)] as the sum of a sy...

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  19. Express the following as sum of symmetric and skew symmetric matri...

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  20. Express the following as sum of symmetric and skew symmetric matri...

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  21. Express the following as sum of symmetric and skew symmetric matri...

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