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NOTES FOR LECTURES
- LEC/VS-01 Groups
- LEC/VS-01 Fields
- LEC/VS-01 Vector Spaces
- LEC/VS-01 Subspace
- LEC/VS-02 Linear Independence
- LEC/VS-02 Basis and Dimension
- LEC/VS-03 Linear Functional
- LEC/VS-03 Dual Vector Space
- LEC/VS-04 Sum of Subspaces
- LEC/VS-04 Quotient Space
- LEC/VS-04 Tensor Product of Vector Spaces
- LEC/VS-05 Linear Operators
- LEC-VS-05 Inverse of a Linear Operator
- LEC-VS-05 Properties of Inverse of a Linear Operator
- LEC/VS-06 Representation in a Basis
- LEC/VS-06 Change of Basis
- LEC/VS-08 Norm and Inner Product in Vector Spaces
- LEC/VS-08 Parallelogram and Polarization Identiites
- LEC/VS-08 Cauchy Schwarz and Triangle Inequalities
- LEC/VS-09 Orthogonality
- LEC/VS-09 Grahm Schmidt Orthogonalization
- LEC/VS-09 Representation in Orthonormal Basis
- LEC/VS-09 Dirac Bra-Ket Notation Explained
- LEC/VS-10 Adjoint of an Operator
- LEC/VS-10 Hermitian Operators
- LEC/VS-10 Unitary Operators
- LEC/VS-11 Normal Operators
- LEC/VS-11 Spectral Theorem Explained
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