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If A=[(1,2,-1),(3,4,7),(5,1,6)] then the...

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

A

`[(0,-2,1),(-3,-3,-7),(-5,-1,-6)]`

B

`[(0,-3,5),(-2,-3,1),(-1,-7,6)]`

C

`[(0,-1,-2),(3,3,7),(5,1,6)]`

D

None of these

Text Solution

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The correct Answer is:
B
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
  1. If for a 2xx2 matrix A,A^(2)+I=O, where I is identity matrix then A eq...

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

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

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

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

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

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

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

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  12. Assuming that the sums and products given below are defined which of t...

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  13. If A=[(alpha, 0, 0),(0,alpha, 0),(0,0,alpha)] then the valueof (i) |...

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  14. For a 3xx3 matrix A if det A=4, then det (Adj. A) equals

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  15. If A=[(cos theta, sin theta),(-sin theta, cos theta)] and A(adjA)=lamd...

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  16. If A is a singular matrix then Adj is

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  17. Let A be a 2xx2 matrix. Statement 1: adj(adjA)=A Statement 2: |adjA...

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  18. The inverse of the matrix A=[(0,1,0),(1,0,0),(0,0,1)] is equal to

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  19. Let A [(0,0,-1),(0,-1,0),(-1,0,0)]. Then the only correct statement A ...

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  20. The number of 3xx3 non singular matrices, with four entries is 1 and a...

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