Advanced Training in Mathematics School for Lecturers (ATML)

in Linear Algebra

(Funded by National Board for Higher Mathematics)

05 July 2010 to 17 July 2010

 
Advanced Training School in Mathematics for Lecturers (ATML) in Linear Algebra is being organised in Department of Mathematics, IIT Guwahati, at Guwahati, Assam in July, 2010 on behalf of NBHM.

                                                                                       

Speakers
S.No Name
1 K D Joshi
2 P Saikia
3 Vinay Wagh
4 D P Patil
5 S M Garge
6 Ravi Rao

Detailed Syllabus

  • Systems of linear equations, Vector spaces, Bases and dimensions, Change of bases and change of coordinates, Sums and direct sums, Quotient spaces.
  • Linear transformations, Representation of linear transformations by matrices, The rank and nullity theorem, Dual spaces, Transposes of linear transformations.
  • Trace and determinant, Eigenvalues and eigenvectors, the minimal polynomial
  • Invariant subspaces, Direct-Sum decomposition, Cyclic subspaces and Annihilators, The Jordan canonical form.
  • Inner product spaces, Adjoint operators, Normal, Unitary, and Self-adjoint operators, Spectral theorem for normal operators.