Module-2

 

1. Theory of Numbers –

   1. divisibility,

   2. division algorithm,

   3. gcd,

   4. lcm.

   5. Relatively prime numbers (Co-primes),

   6. Fundamental Theorem of Arithmetic,

   7. congruences,

      1. solution of linear congruences,

      2. Fermat’s Theorem.

2. Matrices –

   1. Addition,

   2. Multiplication,

   3. Transpose,

   4. Determinants,

   5. singular matrices,

   6. inverse,

   7. symmetric,

   8. skew-symmetric,

   9. hermitian,

   10. skew-hermitian,

   11. Orthogonal matrices,

   12. normal form,

   13. echelon form,

   14. rank of a matrix.

   15. Solution of system of linear equations.

   16. Eigenvalues,

   17. eigenvectors,

   18. Cayley Hamilton Theorem.