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If A and B are two matrices such that AB...

If A and B are two matrices such that `AB=B and BA=A` then `A^2+B^2=` (A) 2AB (B) 2BA (C) A+B (D) AB

A

`2AB`

B

`2BA`

C

`A+B`

D

`AB`

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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
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  6. If A=[(3,1),(-1,2)] then A^(2)=

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  7. If A=[(a,b),(b,a)] and A^(2)=[(alpha, beta),(beta, alpha)]then (alpha,...

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  8. If A=[(alpha, 2),(2,alpha)] and |A^(3)|=125 then alpha is

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  9. If for a 2xx2 matrix A,A^(2)+I=O, where I is identity matrix then A eq...

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  11. If A=[(1,2,-1),(3,4,7),(5,1,6)] then the value of X where A+X is a uni...

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  12. If the matrix [(1,3,lamda+2),(2,4,8),(3,5,10)] is singular then lamda=

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  13. If A=[(0,c,-b),(-c,0,a),(b,-a,0)],B=[(a^(2),ab,ac),(ab,b^(2),bc),(ac,b...

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  14. If A=[(i,0),(0,i)] thenA^(2)=

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  15. If A=[(alpha,0),(1,1)],B=[(1,0),(5,1)] whenever A^(2)=B then the value...

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  17. If A=[(1,0,0),(0,1,0),(a,b,-1)] then A^(2) is eqal to

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  18. If A=[(1,3),(3,4)] and A^(2)-lamdaA-5I=O then lamda is equal to

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  19. For any 2xx2 matrix A if A (Adj. A) =[(10,0),(0,10)] then |A| equals

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