Elementary Linear Algebra, 8th edition by Ron Larson. Differential Equations and Linear Algebra by Stephen W. Goode. David C. Lay, Linear Algebra and Its Applications. Gilbert Strang, Introduction to Linear Algebra. David Poole, Linear Algebra: A Modern Introduction.
All Engineering Departments
About the course
This course aims to introduce the basic concepts of linear algebra. After going over matrix operations, echelon forms, Cramer's Rule and solutions of linear systems using these, methods to find determinants and inverse matrices are summarized. Then vector spaces, linear maps and their matrix representations are introduced. The final parts are dedicated to inner product spaces, (generalized) eigenspaces and theorems on the diagonalization problem.