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The value of lamda for which the matrix ...

The value of `lamda` for which the matrix product `[(2,0,7),(0,1,0),(1,-2,1)][(-lamda,14lamda,7lamda),(0,1,6),(lamda,-4lamda,-2lamda)]` is an identify matrx.

A

`1/2`

B

`1/3`

C

`1/4`

D

`1/5`

Text Solution

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The correct Answer is:
C
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
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  2. The matrix producet [(1),(-2),(3)][(4,5,2)][(2),(-3),(5)] equals

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  3. The value of lamda for which the matrix product [(2,0,7),(0,1,0),(1,-2...

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  4. If A and B are two matrices such that AB=B and BA=A then A^2+B^2= (A) ...

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  5. If A=[(0,1),(1,0)] then A^(4)=

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  6. If A=[(3,-4),(1,-1)] then value of A^(n) is

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  7. If A=[(3,1),(-1,2)] then A^(2)=

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

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

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  10. 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+B=[(1,0),(1,1)]and A-2B=[(-1,1),(0,-1)] then A is equal to

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

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

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  16. 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=[(1,2),(3,4)],B=[(a, 0),(0,b)] where a,b, in N If AB=BA then thr...

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

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

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

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