Fields Fq, R, c. Vector Spaces over a field, Fn, F[?]=Polynomials in one Variable. Direc Notation, Ket and Bra vector, duality, adjointness, linear transformations, bases, dual bases.
Linear transformations and matrices, equivalence, similarity. Eigenvalues, eigenvectors, diagonalization, Jordon canonical form. Bilinear and sesquilinear forms, inner product, orthonormal bases, orthogonal decomposition, projections. System of equations, generalized inverses.
Module No.
Course Content
Lectures
1
Fields Fq, R, C. Vector Spaces over a field, Fn, F[ө]=Polynomials in one Variable.
2
2
Direc Notations, Ket, bra vector, duality, adjointness, linear transformations, bases, dual bases.
5
3
Linear transformations and matrices, equivalence, similarity.
5
4
Eigenvalues,eigenvectors, diagonalization, Jordon canonical form
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