study how to prove vector space theorem 3 !!!

• fourier series
• matrix
• logic

summary

groups and fields

vector spaces, combinations, span, independence

basis, dimension

inner product

gram-schmidt orthogonalization

transformations, nullity, kernel

1. linear functionals, dual space

matrix representation of transformations

eigen, characteristic, minimal polynomial

1. diagonalization of matrices
2. qr factorization, quadratic forms
3. svd factorization
4. norms, spectral radius