Linear Algebra Course

A concise, structured course covering core linear algebra concepts with worked examples and progressive exercises.

Course Structure

9 comprehensive lessons with prerequisites, objectives, and examples

Each lesson includes worked examples and practice problems

Build from fundamentals to advanced topics step by step

3 topics · 4 exercises

Definition of of group, field and matrix.

Definition of matrix addition. Elementwise rules. Properties: commutativity, associativity, and additive identity. Examples and common mistakes.

Definition of product $AB$. Row-by-column rule. Noncommutativity. Identity and zero matrices. Complexity and block multiplication.