Linear Algebra

Package Details : Video Lectures and Study Materials (in pdf)Video Language : English/Hindi Course Material Language : English Video Run On : Single Android Phone Faculty Name : Mr. Sunil Kumar Cancellation Policy: Non Cancellable Course Contents: Vector spaces, subspaces, algebra of subspaces, quotient spaces, linear combination of vectors, linear span, linear independenceBasis and dimension, dimension of subspaces, theorems. Linear transformations, null space, range, rank and nullity of a linear transformation, matrix representation of a linear transformation, algebra of linear transformations.Dual spaces, dual basis, double dual, transpose of a linear transformation and its matrix in thedual basis, annihilators, Eigen spaces of a linear operator, diagonalizability, invariant subspacesand Cayley-Hamilton theorem, the minimal polynomial for a linear operator.Inner product spaces and norms, Gram-Schmidt orthogonalization process, orthogonal complements, Bessel’s inequality.