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Let A=[[0,1,4],[-1,0,-5],[-4,5,0]] then ...

Let `A=[[0,1,4],[-1,0,-5],[-4,5,0]]` then `A^4` is a

A

skew symmetric matrix

B

non singular matrix

C

unit matrix

D

symmetric matrix

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The correct Answer is:
D
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If [[1,2,3]].B=(3,4), then the oredr of the matrix is

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  2. If A= [[0,3],[-3,0]] and B=[[0,4],[-4,0]] then A+B is a

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  3. Let A=[[0,1,4],[-1,0,-5],[-4,5,0]] then A^4 is a

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  4. If A= [[0,-2,3],[2,0,-1],[-3,1,0]] then A^5 is

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  5. If A=[[3,-4],[2,3]] then A-A^ prime is

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  6. If A= B+C such that B is a symmetric matrix and C is a skew - symmet...

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  7. Let A and B be 3xx3 matrices such that A' = - A , B ' = B , then matri...

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  8. If A and B are non singular square matrices of same order, then which ...

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  9. If A,B are square matrices of order 3 , then :

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  10. If A=[[a,b],[c,d]], then adj(adj A)=

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  11. If A=[[4,-1],[-1,3]], then A . adj A=

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  12. Let A be a square matrix with real entries, such that A^97=A^-1 . Then

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  13. If ((1,-tan theta ),(tan theta,1))((1,tan theta ),(-tan theta ,1))^(-1...

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  14. If A = [(2,3),(1,-2)] and A^(-1) = alpha A , then the value of alpha...

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  15. For a square matrix A and a non singular matrix B of the same order ,...

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  16. If A and B are two square matrices of the same order such that AB=B an...

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  17. If A=[[x,1],[1,0]]and A^2=I, then A^-1 =

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  18. If A= [[-2,2],[3,1]] then 8A^-1=

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  19. The inverse of the matrix A= [[0,1,0],[1,0,0],[0,0,1]] is A

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  20. If the matrix A=[[8,-6,2],[-6,7,-4],[2,-4,lambda]] is singular, then l...

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