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June 14, 2012

Matrix Algebra Topics - Linear Algebra - Gate Syllabus 2012

Gate Syllabus 2012 for Mechanical Engineering
Engineering Mathematics
Linear Algebra
Matrix Algebra Topics

  1. Gauss Jordan Method (Obtain Inverse using elementary row Transformations).
  2. Rank of a Matrix
  3. Solution of a System of Linear equations
  4. Unique Solution (AX=B condition)
  5. Vectors
  6. Linear Dependence and Linear Independence of vectors
  7. Linear Transformations
  8. Orthogonal Transformations
  9. Characteristic equation
  10. Eigen Vectors
  11. Properties of Eigen Values
  12. Cayley Hamilton Theorem
  13. Reduction to Diagonal Form
  14. Calculations of Powers of a Matrix
  15. Similar Matrices
  16. Theory on Similar Matrices
  17. Quadratic Forms
  18. Linear transformations of a quadratic forms
  19. Canonical Form
  20. Index and signature of quadratic Form
  21. Definite Semi-Definite and Indefinite Real quadratic forms
  22. Law of inertia of Quadratic form
  23. Reduction to canonical form by orthogonal transformation. 

4 comments:

Thanks for the above information. Can you please send me the updated GATE Syllabus i am not able to download it.

I really liked your Information. Keep up the good work. Basic of Mechanical Engineering

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