Linear Algebra Ii

This is a second course in linear algebra. It emphasizes abstract vector spaces and linear maps and provides a rigorous development of the fundamental theorems about them. Topics include vector spaces, linear maps, eigenvalues and eigenvectors, inner-product spaces and their operators, the polar and singular-value decompositions, the characteristic and minimal polynomials, the Jordan Normal Form. This course also covers applications of linear algebra to geometry, matrix analysis or data analysis.

019993