Description
- Solving systems of equations with one, many, and no solutions.
- Gauss-Jordan elimination.
- Gaussian elimination.
- Matrices.
- LU-decomposition.
- Vector spaces.
- Inner product spaces.
- Gram-Schmidt orthogonalization process.
- Fourier series.
- Data fitting.
- Linear Transformations.
- Linear functionals.
- Dual spaces.
- Eigenvalues and eigenvectors.
- Markov chains. (Upper-division college level.)
- Usually taken in the junior (3rd) year.
All the answers are given in the book.