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If A = [(1,1),(1,1)] and n in N , then...

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

A

`2^(n-1) . A`

B

`n^2 . A`

C

`2^(n+1) . A`

D

`2^n . A`

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A
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HIMALAYA PUBLICATION-MATRICES AND DETERMINANTS-QUESTION BANK
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  2. If A B=A and B A=B, then B^2=

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

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

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

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

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  8. The inverse of a symmetric matrix is

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

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

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

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

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

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

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  15. If A= [[2,-3],[2,-4]] then |A^2+2 A|=

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  16. The constant term in the characteristic polynomial of the matrix A =...

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  17. The constant term in the characteristic polynomial of the matrix A= [[...

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  18. If A is a square matrix such that A^2=A then det A=

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  19. Let A and B are matrices such that A+B and B A are both defined, then

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  20. Let A= [[1,-1],[2,-1]]and B= [[1,a],[4,b]]. If (A+B)^2=A^2+B^2 , then...

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