Linear algebra and geometry at university — free worksheets
A first university linear algebra course — systems of equations, matrices, inverses and determinants, then vectors, their products, and lines and planes in space — is the same material as CEGEP Linear Algebra under a university course number. The free worksheets for it are the CEGEP Linear Algebra sets, listed below with the course codes they match.
Matching course codes. In the public course calendars of Montreal universities, this material is taught in the courses numbered MATH 133 and MATH 204. It is the material of the CEGEP Linear Algebra course, so the 7 CEGEP Linear Algebra worksheets below are the ones to use. Each university course orders and weights the topics its own way — check your own outline for what your exam covers.
Where a course goes further. Some of these courses go past the CEGEP course at the end of term: an introduction to vector spaces, linear independence and bases, linear transformations, and eigenvalues with diagonalisation. None of that is in the CEGEP sets below. Those topics are in the University Linear Algebra worksheets.
The 7 free worksheets
Matrices and systems
- Matrices and Matrix Algebra6 concepts · 7 pages
- Systems of Linear Equations6 concepts · 6 pages
- The Inverse of a Matrix5 concepts · 6 pages
- Determinants6 concepts · 7 pages