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For any 2xx 2 matrix A, if A . adj A = [...

For any `2xx 2` matrix A, if `A . adj A = [[7,0],[0,7]]` then `|A|` is equal to

A

7

B

14

C

49

D

0

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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
  1. If A=[[3,-4],[1,-1]] then the value of A^n=

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  2. If A is a square matrix of order n, then det (adj A)=

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  3. For any 2xx 2 matrix A, if A . adj A = [[7,0],[0,7]] then |A| is equal...

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  4. If A=[[1,-1,2],[2,1,-1],[-1,2,1]], then det [adj .(adj A)]=

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  5. If A = [[1,0,0],[0,1,0],[0,0,1]], then A^2+2 A=

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

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  7. If the matrix A B is a zero matrix, then

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  8. If A B=A and B A=B, then B^2=

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  9. If A = [(1,1),(1,1)] and n in N , then A^(n) equals :

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  10. If A= [[i,0],[0,i]], n in N, then A^(4 n) =

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  11. If A be a square matrix of order 3. If |A|=-2 then the value of the de...

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  12. If A = [[0,-i,1],[0,2,-3],[2,1,0]] and B=adj A, C=5A, then |ad j B|/|...

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  13. If A = [[a,0,0],[0,a,0],[0,0,a]] then |adj A|=

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  14. The inverse of a symmetric matrix is

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  15. Let X = [[x1],[x2],[x3]], A= [[1,-1,2],[2,0,1],[3,2,1]] and B= [[3],[...

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  16. If A is a 3xx 3 non-singular matrix such that A=A^-1 and |A| ne 1, the...

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  17. Let X = [[x],[y],[z]], D= [[3],[5],[11]] and A= [[1,-1,2],[2,1,1],[4,-...

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  18. If A = [[4,-3],[-2,2]] and I is the unit matrix of order 2, then A^2=

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  19. If A is symmetric as well as skew symmetric then A

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  20. The eigen values of the matrix A = [[2,3,0],[0,1,0],[0,0,2]] are

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