Secondary 5 Math Linear 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 7 theorems, 5 worked examples, in 7 printable pages. This page lists what the notes cover. The notes themselves come with the Secondary 5 Math bundle.
Unit notes — in the bundle
Not sold separately. The practice worksheet for this unit is free, with no email and no account.
Linear 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.
Vectors and their components
- Definition — Vector
- Definition — Components and magnitude
- Definition — Equal, opposite and parallel
Also in this section: 1 worked example, 1 note on method and common errors.
Operations on vectors
- Theorem — Addition, subtraction and scalar multiplication
- Theorem — Scalar multiplication, geometrically
- Definition — Linear combination
Also in this section: 1 worked example, 1 note on method and common errors.
The scalar product and projection
- Definition — Scalar product (dot product)
- Theorem — What the number tells you
- Theorem — Orthogonal projection
Also in this section: 1 worked example, 2 notes on method and common errors.
Matrices and transformations
- Definition — Matrix
- Theorem — The operations
- Theorem — Transformation matrices
Also in this section: 1 worked example, 2 notes on method and common errors.
Semi-linear systems
- Theorem — Solving a system of one first-degree and one second-degree equation
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 Secondary 5 Math Solutions Bundle, beside the unit test, the challenge problems and every worked answer key. The Linear Algebra practice worksheet is free and stays free.
Every Secondary 5 Math topic — the complete Solutions Bundle
One download, one payment, the whole program. For all 21 Secondary 5 Math 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.
Linear Algebra practice worksheet About the Linear Algebra unit test