Linear Algebra

- Solving systems of linear equations (using Gaussian elimination)

- Vectors in R^n

- Linear dependence/independence

- Matrix algebra (sum, product, inverse)

- LU decomposition of a matrix

- Linear transformations

- Subspaces in R^n (basis, dimension); column space and null space

- Determinants

- Eigenvalues and eigenvectors

- Diagonalization

- Inner products and orthogonal sets

- Orthogonal projections

- Method of least squares and linear models

- Symmetric matrices