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For any 2xx2 matrix A if A (Adj. A) =[(1...

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

A

0

B

10

C

20

D

100

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

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

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

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

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

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

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

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  8. If A is a singular matrix then Adj is

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

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

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

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

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  13. If I(3) is the identity matrix of order 3 order (I(3))^(-1) is equal ...

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  14. If ((1,2,3))A=((4,5)), what is the order of matrix A?

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  15. Let A be an invertible matrix, then which of the following is not true...

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  16. If A=[(ab,b^(2)),(-a^(2),-ab)] then A is

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  17. If A=[(3,0,0),(0,2,0),(0,0,1)] then A is

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  18. Let A=[(1,1,3),(5,2,6),(-2,-1,-3)] then A is

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  19. The matrix [(0,5,-7),(-5,0,11),(7,-11,0)] is

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  20. If A and B symmetric matrices of the same order then AB-BA is a matrix...

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