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
Learn by Doing
Each lesson includes worked examples and practice problems
Progressive Difficulty
Build from fundamentals to advanced topics step by step
Determinant definition and simple exercises
Multilinearity, effect of row operations, product rule $\det(AB)=\det(A)\det(B)$, geometric meaning as volume scaling.
3x3 determinant and Sarrus rule
Multilinearity, effect of row operations, product rule $\det(AB)=\det(A)\det(B)$, geometric meaning as volume scaling.
Cofactor Expansion
Multilinearity, effect of row operations, product rule $\det(AB)=\det(A)\det(B)$, geometric meaning as volume scaling.