In this program
- Vector spaces and bases
- Linear maps and matrices
- Determinants (theory)
- Eigenvalues and diagonalization
- Inner products and the spectral theorem (intro)
Inner products and the spectral theorem (intro)
Linear algebra · Theoretical / proof-based
Inner products and norms
Objectives
- Inner products and norms
- Cauchy-Schwarz
- Orthogonal
- Orthonormal bases
- Orthogonal projections
- Least squares in inner product language
- Spectral theorem for real symmetric / self-adjoint operators (statement and use)
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