Linear Algebra
Before this course
Systems of equations, vectors and arithmetic with fractions.
Review a prerequisite lesson →- 01Matrices, Elimination & Inverses
Translate systems into matrices, preserve solutions with row operations and check invertibility.
- 02Span, Basis, Rank & Nullity
Connect independent columns, free variables and dimensions of a linear transformation.
- 03Eigenvalues & Orthogonal Projection
Identify directions preserved by a transformation and use projection to obtain a least-squares fit.
After these topics
Higher-dimensional decompositions, change of basis, abstract linear maps and extended least-squares projects.
The topics above describe this library’s current scope, not a complete university course. Use the reference readings and written exercises to continue.