This course gives a thorough introduction to linear algebra with emphasis on vector spaces, linear maps, spectral theory, orthogonality and applications of this theory. MATLAB is used for ...

Vector Spaces and Subspaces Solving Ax = 0 and Ax = b Linear Independence, Basis, and Dimension The Four Fundamental Subspaces Graphs and Networks ...

This section is about vector spaces and linear maps. We introduce the idea of a vector space, generalising sets of column vectors, and a linear map: a function between two vector spaces which ...

Systems of linear equations; real vectors spaces and subspaces; linear combinations and linear spans; linear dependence and linear independence; applications to systems of linear equations and their ...

ABSTRACT: We consider plus-operators in Krein spaces and generated operator linear fractional relations of the following form: . We study some special type of factorization for plus-operators T, among ...

Vector spaces, linear transformation, matrix representation, inner product spaces, isometries, least squares, generalised inverse, eigen theory, quadratic forms, norms, numerical methods. The fourth ...