In this program
Vector spaces and bases
Linear algebra · Theoretical / proof-based
Axioms of vector spaces
Objectives
- Axioms of vector spaces
- Subspaces over R (and C when needed)
- Linear combinations and span
- Linear independence
- Bases and dimension
- Coordinate representations
- Rank-nullity for linear maps (statement
- Proof outline)
Study materials
- Study guideComing soon
- Exam StrategyComing soon
- Common MistakesComing soon
- WorksheetsComing soon
- Word problemsComing soon
- Mixed PracticeComing soon
- Multi-Unit ProblemsComing soon
- ReviewComing soon
- Practice testComing soon
- Answer keyComing soon
Interactive practice
Quizzes, typed answers, and flashcards for this unit — coming soon.
- Coming soon
Quiz
Multiple-choice questions with instant feedback
- Coming soon
Typed practice
Type answers and check them
- Coming soon
Flashcards
Vocabulary and key facts
- Coming soon
Mixed quiz
Harder mixed review for this standard