by W W L Chen
Publisher: Macquarie University 2008
Number of pages: 221
Linear algebra lecture notes: linear equations, matrices, determinants, vectors, introduction to vector spaces, vector spaces associated with matrices, eigenvalues and eigenvectors, linear transformations, real inner product spaces, orthogonal matrices, applications of real inner product spaces, complex vector spaces.
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by Edwin H. Connell
Covers abstract algebra in general, with the focus on linear algebra, intended for students in mathematics, physical sciences, and computer science. The presentation is compact, but still somewhat informal. The proofs of many theorems are omitted.
by Robert A. Beezer - University of Puget Sound
Introductory textbook for college-level sophomores and juniors. It covers systems of linear equations, matrix algebra, finite-dimensional vector spaces, matrix representations of linear transformations, diagonalization, Jordan canonical form, etc.
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These notes are drawn from lectures given for a first year introduction to linear algebra. The prerequisites for this course are arithmetic and elementary algebra, and some comfort and facility with proofs, particularly using mathematical induction.
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In the second volume of Calculus and Linear Algebra, the concept of linear algebra is further developed and applied to geometry, many-variable calculus, and differential equations. This volume introduces many novel ideas and proofs.