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If A and B are two invertible matrices, ...

If A and B are two invertible matrices, then the inverse of AB is equal to :

A

AB

B

BA

C

`A^(-1)B^(-1)`

D

`B^(-1)A^(-1)`

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The correct Answer is:
D
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ACCURATE PUBLICATION-MATRICES-QUESTIONS CARRYING 1 MARK (Type-I : (Multiple choice questions))
  1. If A = [[1 2 3 ]], then AA' is equal to :

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  2. Choose the correct option in the question : If A = {:((3,2,1)):} the...

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  3. If A and B are two invertible matrices, then the inverse of AB is equa...

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  4. If A and B are square matrices of the same order, then (A+B) (A-B) is ...

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  5. If A=[{:(2,-1,3),(-4,5,1):}] and B=[{:(2,3),(4,-2),(1,5):}] , then

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  6. The matrix {:[(0,0,5),(0,5,0),(5,0,0)] is a scalar matrix. State true ...

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

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  8. The matrix P=[{:(0,0,4),(0,4,0),(4,0,0):}] is a

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  9. The number of all possible matrices of order 3xx3 with each element 0 ...

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  10. If [{:(2x+y,4x),(5x-7,4x):}]=[{:(7,7y-13),(y,x+6):}] then the value of...

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  11. If matrix A=[a(ij)](2xx2), where a(ij){:(=1,, "if",, i ne j),(= 0 ,,"i...

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  12. If A and B are two matrices of the order 3xxm and 3xxn , respectively ...

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  13. If A=[{:(0,1),(1,0):}] then A^(2) is equal to

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  14. If matrix A=[a(ij)](2xx2), where a(ij){:(=1,, "if",, i ne j),(= 0 ,,"i...

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  15. The matrix [{:(1,0,0),(0,2,0),(0,0,4):}] is a

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  16. The matrix [{:(0,-5,8),(5,0,12),(-8,-12,0):}] is a

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  17. If A is a matrix of order mxxn and B is a matix such that AB' and B'A ...

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

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  19. If A is square matrix suct that A^(2)=I, then (A-I)^(3)+(A+I)^(3)-7 A ...

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

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