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If A=diag[d(1),d(2),d(3)] then A^(n) is ...

If `A=diag[d_(1),d_(2),d_(3)]` then `A^(n)` is equal to

A

`diag[d_(1)^(n-1),d_(2)^(n-1),d_(3)^(n-1)]`

B

`A`

C

`diag[d_(1)^(n),d_(2)^(n),d_(3)^(n)]`

D

None of these

Text Solution

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The correct Answer is:
C
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ML KHANNA-MATRICES-PROBLEM SET(1) (MULTIPLE CHOICE QUESTIONS)
  1. If D=diag[d(1),d(2),…………..,d(n)] where d(i)!=0AAi=1,2,3,………..n then D^...

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  2. If A=[(3,4),(2,4)],B=[(-2,-2),(0,-2)] then (A+B)^(-1)=

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  3. If A=diag[d(1),d(2),d(3)] then A^(n) is equal to

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  4. Inverse of the matrix [(3,-2,-1),(-4,1,-1),(2,0,1)] is

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  5. If A=[(1,-1,1),(2,1,-3),(1,1,1)] and 10 B=[(4,2,2),(-5,0,alpha),(1,-2,...

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  6. The inverse of a symmetric matrix is a matrix which is

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  7. A=[(1,0,0),(0,1,1),(0,-2,4)],I=[(1,0,0),(0,1,0),(0,0,1)] A^(-1)=1/6(...

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  8. If A=[(0,0,1),(0,-1,0),(1,0,0)] then A^(-1)=

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  9. Let F(alpha)=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,...

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  10. If E(theta)=[(cos theta, sin theta),(-sin theta, cos theta)], then E(a...

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  11. If {:E(theta)=[(cos^2 theta,costhetasintheta),(costhetasintheta,sin^2t...

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  12. If A=[(cos^(2) theta, cos theta sin theta),(cos theta sin theta, sin^(...

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  13. If A and B are matrices given below: A=[(0,c,-b),(-c,0,a),(b,-a,0)] ...

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  14. Let F(alpha)=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,...

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  15. If F(alpha)=[(cos alpha, -sin alpha, 0),(sin alpha, cos alpha, 0),(0,0...

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  16. If [(1,-tan theta),(tan theta,1)][(1,tan theta),(-tan theta,1)]^(-1)=[...

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  17. Which of the following the following is correct?

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  18. If A be a skew symmetric matrix of odd order, then |A| is equal to

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  19. If A be a skew symmetric matrix of even order then |A| is equal to

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  20. If A=[(1,0),(1//2,1)] then A^(50) is

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