Friedberg S , Insel A , Spence L Linear Algebra 5ed 2019

Textbook in PDF format

Illustrates the power of linear algebra through practical applications
This acclaimed theorem-proof text presents a careful treatment of the principal topics of linear algebra. It emphasizes the symbiotic relationship between linear transformations and matrices, but states theorems in the more general infinite-dimensional case where appropriate. Applications to such areas as differential equations, economics, geometry, and physics appear throughout, and can be included at the instructor’s discretion.
Contents
Vector Spaces
Linear Transformations and Materices
Elementary Matrix Operations and Systems of Linear Equations
Determinants
Diagonalization
Inner Product Spaces
Canonical Forms
Appendices
Sets .
Functions
Fields
Complex Numbers
Polynomials
Answers to Selected Exercises