This document covers first-year university-level linear algebra. It features notes on each topic as well as practice problems done in class with answers. The units covered are:



1. Vectors, sets, lines, and planes (notation, dot product)

2. Systems of linear equations (matrices, Gauss-Jordan elimination, REF, RREF, types of matrices, types of solutions, matrix operations, matrix rank

3. Linear transformations (scaling, orthogonal projection, reflections, rotations, shear)

4. Composition and...