CEGEP Linear Algebra Matrices and Matrix Algebra — Unit Notes
Every definition and theorem this unit expects you to know, stated once each and written to be revised from: 6 definitions and 6 theorems, 5 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.
Matrices and Matrix Algebra — what the notes cover
5 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.
Matrices and their notation
- Definition — Matrix
- Definition — Special matrices
Also in this section: 1 worked example, 1 note on method and common errors.
Addition and scalar multiplication
- Definition — Sum and scalar multiple
- Theorem — These two behave exactly as expected
Also in this section: 1 worked example.
Matrix multiplication
- Definition — The product
- Theorem — What multiplication does keep
Also in this section: 1 worked example, 1 note on method and common errors.
Three ways matrix algebra is not number algebra
- Theorem — Multiplication is not commutative
- Theorem — There are zero divisors
- Theorem — Cancellation fails
Also in this section: 1 worked example, 1 note on method and common errors.
The transpose
- Definition — Transpose
- Definition — Symmetric matrix
- Theorem — How the transpose interacts
Also in this section: 1 worked example.
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 Matrices and Matrix Algebra 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.
Matrices and Matrix Algebra practice worksheet About the Matrices and Matrix Algebra unit test