ATML Linear Algebra (2010 )

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.