This book covers the material of an introductory course in linear algebra. Topics include sets and maps, vector spaces, bases, linear maps, matrices, determinants, systems of linear equations, Euclidean spaces, eigenvalues and eigenvectors, diagonalization of self-adjoint operators, and classification of matrices. It contains multiple choice tests with commented answers.

1.sets and maps
2.vector spaces
3.dimension
4.linear maps
5.matrix calculus
6.determinants
7.systems of linear equations
8.euclidean vector spaces
9.digenvalues
10.the principal axes transformation
11.clssification of matrices
12.answers to the tests

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