CEGEP Linear Algebra Systems of Linear Equations — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 6 definitions and 3 theorems, 4 worked examples, in 9 printable pages. This page lists what the notes cover. The notes themselves come with the CEGEP Linear Algebra bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Systems of Linear Equations — what the notes cover
4 sections, in the order the unit is taught. Each entry below is the title of a definition or a theorem the notes state in full.
Systems and their matrices
- Definition — Linear system
- Definition — Coefficient and augmented matrix
Also in this section: 1 worked example, 1 note on method and common errors.
Row operations and echelon form
- Definition — Elementary row operations
- Definition — Row echelon form
Also in this section: 1 worked example, 1 note on method and common errors.
Reading the solution set
- Theorem — The three outcomes
- Definition — Free variable
Also in this section: 1 worked example, 1 note on method and common errors.
Homogeneous systems
- Definition — Homogeneous system
- Theorem — A homogeneous system is never inconsistent
- Theorem — More unknowns than equations
Also in this section: 1 worked example, 1 note on method and common errors.
Where the notes are
The notes are one of the documents in the CEGEP Linear Algebra Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Systems of Linear Equations practice worksheet is free and stays free.
Every CEGEP Linear Algebra topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 7 CEGEP Linear Algebra units: the worksheet, the reference notes, the challenge set, the unit test and every answer key — these notes included.
- Worked solutions, not answer lists — every step written out
- Covers the whole year's program at this level
- Less than the price of one hour of tutoring — for the entire year's solutions
Practise it, then test yourself
Notes on their own do not make anything stick. This unit has a free, printable practice worksheet, and an end-of-unit test that comes with the bundle.
Systems of Linear Equations practice worksheet About the Systems of Linear Equations unit test