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If {:A=[(1,0),(k,1)]andB=[(0,0),(k,0)]:}...

If `{:A=[(1,0),(k,1)]andB=[(0,0),(k,0)]:}` such that `A^100-I=lambdaB," then "lambda=`

A

99

B

100

C

10

D

49

Text Solution

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The correct Answer is:
B
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OBJECTIVE RD SHARMA-MATRICES-Exercise
  1. If A is an orthogonal matrix, then

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  2. Let A be a non-singular square matrix of order n. Then; |adjA| = |A|^(...

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  3. Let A=[a(ij)](nxxn) be a square matrix of order 3 such that |A|=-7 an...

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  4. If A is a non-singlular square matrix of order n, then the rank of A i...

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  5. If A is a matrix such that there exists a square submatrix of order r ...

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  6. Let A be a matrix of rank r. Then,

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  7. Let A=[a(ij)](mxxn) be a matrix such that a(ij)=1 for all I,j. Then ,

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  8. If A is a non-zero column matrix of order mxx1 and B is a non-zero row...

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  9. The rank of the matrix {:[(1,2,3,0),(2,4,3,2),(3,2,1,3),(6,8,7,5)]:}, ...

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  10. If A is an invertible matrix then det(A^-1) is equal to

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  11. If A and B are two matrices such that rank of A = m and rank of B = n...

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  12. If {:A=[(3,4),(2,4)],B=[(-2,-2),(0,-1)]:}," then " (A+B)^(-1)=

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  13. Let {:A=[(a,0,0),(0,a,0),(0,0,a)]:}, then A^n is equal to

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  14. If {:A=[(costheta,sintheta),(-sintheta,costheta)]:}, " then "lim(ntooo...

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  15. If {:A=[(1,2,x),(0,1,0),(0,0,1)]andB=[(1,-2,y),(0,1,0),(0,0,1)]:} and ...

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  16. If A=[{:(,1,a),(,0,1):}] then find underset(n-oo)(lim)(1)/(n)A^(n)

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  17. If the matrix {:[(a,b),(c,d)]:} is commutative with matrix {:[(1,1),(...

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  18. If {:A=[(1,0),(k,1)]andB=[(0,0),(k,0)]:} such that A^100-I=lambdaB," ...

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  19. If matrix A has 180 elements, then the number of possible orders of A ...

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  20. A 3xx3 matrix A, with 1st row elements as 2,-1,-1 respectively, is mod...

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