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Prove that [{:(costheta,-sintheta),(sint...

Prove that `[{:(costheta,-sintheta),(sintheta,costheta):}]` is orthogonal.

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FULL MARKS-APPLICATIONS OF MATRICES AND DETERMINANTS-ADDITIONAL QUESTIONS SOLVED
  1. Prove that [{:(costheta,-sintheta),(sintheta,costheta):}] is orthogona...

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  2. Using elementary transformations find the inverse of the following mat...

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  3. Using elementary transformations find the inverse of the matrix [{:(1,...

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  4. Using elementary transformation find the inverse of the matrix [{:(3,-...

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  5. Using elementary transformations find the inverse of the matrix [{:(1,...

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  6. Using elementary transformation, find the inverse of the following mat...

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  7. Given A=[{:(1,-1,2),(3,0,-2),(1,0,3):}] verify that A(adjA)=(adjA)A=|A...

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  8. If A = [{:(3,2),(7,5):}] "and B" = [{:(-1,-3),(5,2):}] "verify that" (...

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  9. If A={:((3,1),(-1,2)):} show that A^(2)-5A+7I(2)=0

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  10. If A=[{:(2,-1,1),(-1,2,-1),(1,-1,2):}] verify that A^(3)-6A^(2)+9A-4I=...

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  11. Find the inverse of the matrices [{:(1,-1,2),(0,2,-3),(3,-2,4):}]

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  12. Find the rank of the following matrices. [{:(1,-1,1),(3,-2,3),(2,-3,4)...

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  13. Find the rank of the following matrices. [{:(0,1,2,1),(2,-3,0,-1),(1,1...

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  14. Find the rank of the matrix [[1,-2,3,4],[-2,4,-1,-3],[-1,2,7,6]]

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  15. Using elementary transformations find the inverse of the following mat...

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  16. Using elementary transformations find the inverse of the following mat...

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  17. Using elementary transformations find the inverse of the following mat...

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  18. Using elementary transformations find the inverse of the following mat...

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  19. Using elementary transformations, find the inverse of the following ma...

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  20. Using elementary transformations, find the inverse of the following ma...

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  21. Using elementary transformations, find the inverse of the following ma...

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