The fundamental theorem of linear algebra. (English) Zbl 0802.15002
An expository article on the action of a matrix showing the role of the nullspaces and ranges, especially in the singular value decomposition and the concept of pseudoinverse.
Reviewer: J.Zemánek (Warszawa)
MSC:
| 15A04 | Linear transformations, semilinear transformations |
| 15A09 | Theory of matrix inversion and generalized inverses |
| 15A18 | Eigenvalues, singular values, and eigenvectors |
| 15A03 | Vector spaces, linear dependence, rank, lineability |
| 15A06 | Linear equations (linear algebraic aspects) |
