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If B is a 3xx3 matrics such that B^2=0 t...

If B is a `3xx3` matrics such that `B^2=0` then `det[(1+B)^(50)-50B]=0`

A

1

B

2

C

3

D

50

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MCGROW HILL PUBLICATION-MATRICES-Questions from Previous Years. AIEEE /JEE Main Papers
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  2. If A is an 3xx3 non-singular matrix such that A A^T=A^TA and B=A^(-1)A...

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  3. If B is a 3xx3 matrics such that B^2=0 then det[(1+B)^(50)-50B]=0

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  5. If A=[(1,2,x),(3,-1,2)] and B=[(y),(x),(1)] be such that AB=[(6),(8)],...

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  6. Let A and B be any two 3xx3 matrices . If A is symmetric and B is skew...

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  7. If A=[1 2 2 2 1-2a2b] is a matrix satisfying the equation AA^T=""9I , ...

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  8. If A is a 3xx3 such that |5.adj(A)|=5 then |A| is equal to

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  9. If A = [(0,-1),(1,0)] then which one of the following statement is not...

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  10. If A=[5a-b3 2] and A adj A=AA^T , then 5a+b is equal to: (1) -1 (2) ...

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  11. If P=[[sqrt(3)/2,1/2],[-1/2,sqrt(3)/2]], A=[[1,1],[0,1]] and Q=PAP^T, ...

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  12. If {:A=[(-4,-1),(3,1)]:}, then the determint of the matrix (A^2016-2A^...

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  13. Let A be a 3xx3 matrix such that A^2-5A+7I=0 then which of the stateme...

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  14. If S is the set of distinct values of ' b for which the following syst...

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  15. If A=|{:(,2,-3),(,-4,1):}| then adj (3A^(2)+12A) is equal to

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  16. The number of real values of lambda for which the system of linear equ...

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  17. Let A be any 3xx3 invertible matrix. Thenwhich one of the following i...

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  18. For two 3xx3 matrices A and B, let A+B=2B' and 3A+2B=I3 where B' is t...

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  19. If x =a, y=b, z=c is a solution of the system of linear equations x...

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  20. If the system of linear equations x+ky+3z=0 3x+ky-2z=0 2x+4y-3z=0 ...

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