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If A, B, C are invertible matrices, then...

If A, B, C are invertible matrices, then `(ABC)^(-1)`=

A

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

B

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

C

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

D

can not said

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The correct Answer is:
B
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FIITJEE-MATRICES -ASSIGNMENT PROBLEM (OBJECTIVE) (Level-I)
  1. If alpha be the set of integral values of c for which the equations c...

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  2. If A and B matrices commute then

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  3. If A, B, C are invertible matrices, then (ABC)^(-1)=

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

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  5. Trace of a skew symmetric matrix is always equal to

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  6. If An= [ad ]A2 =[{:( a2, as),( a4 .a5):}], A5 =[{:( a6,a7,a8),( a9,a1...

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  7. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

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  8. If I=[{:(,1,0),(,0,1):}], J=[{:(,0,1),(,-1,0):}]and B=[{:(,cos theta,s...

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  9. If A={:[(i,i),(-i,i)] and B= [{:( 1,-1),(-1,1) :}] then A^(8) equal...

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  10. Let Aa n dB be two 2xx2 matrices. Consider the statements A B=O A+Oo...

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  11. The number of 3xx3 matrices with entries from the set {-1, 0,1} such t...

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  12. If A and B are symmetric matrices of order n(A!=B) then (A) A+B is ske...

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  13. The number of all the matrices A= [adj ]1le 1i,le 4 such that a(ij) =...

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  14. Let A =[(1,-1,1),(2,1,-3),(1,1,1)] and 10B=[(4,2,2),(-5,0,alpha),(...

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  15. The values of x for which the matrix [[x+a,b,c],[a,x+b,c],[a,b,x+c]] ...

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  16. If Aa n dB are square matrices of the same order and A is non-singular...

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  17. The inverse of a skew symmetric matrix is

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  18. If [{:( 1,2,3),(1,3,5),(1,5,12):}] then adj (adj A) is

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  19. Let A be a square matrix of order 3 such that transpose of inverse of ...

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  20. If A =[{:( alpha , a ),( beta , b),( gamma, c):}] then (A)A^(T) is

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