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CBSE CLASS XII

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Matrices and Determinants (4 Mark questions)

Page 4 of 5

  1. Using properties of determinants, prove the following
  2. .

  3. If a, b, c are positive and unequal, show that value of determinant is negative.
  4. Find the matrix X and Y when it is being given that ..
  5. Using properties of determinants, Prove that .
  6. Using properties of determinants, Prove that .
  7. Using properties of determinants Prove that .
  8. If A= and I= Find x and y Such that A2= xA + yI. Hence find A-1. .
  9. If Then by mathematical induction show that Where a & b are constant.
  10. If , then show that .
  11. Prove that .
  12. Prove that : .
  13. Using properties of determinants prove that .
  14. Let show that (aX + bY)3 = a3X + 3a2b Y.
  15. Prove that value of the determent is independent of .
  16. Solve for
  17. By using the properties of the determinants prove that .
  18. .
  19. .
  20. .
  21. .
  22. .
  23. .
  24. .
  25. .
  26. .
  27. If a, b, c are reals, and Show that either a + b+ c =0 or a = b = c.

 

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Submitted By Mrs. E.Praveen
Email Id : [email protected]