In this program
- 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)
Inner products and the spectral theorem (intro)
Spectral theorem for real symmetric / self-adjoint operators (statement and use)
Linear algebra · Theoretical / proof-based
Topic
Spectral theorem for real symmetric / self-adjoint operators (statement and use)
Practice by unit: Inner products and the spectral theorem (intro)
Undergraduate Linear Algebra — scope drawn from Axler Linear Algebra Done Right (open PDF), Treil Linear Algebra Done Wrong, Beezer A First Course in Linear Algebra, and AIM-approved OER texts.