MATH 2568: Linear Algebra

Comprehensive introduction to linear algebra covering systems of linear equations, matrices, vector spaces, subspaces, linear independence, basis, dimension, linear transformations, eigenvalues, eigenvectors, and orthogonality.

• Vector spaces and subspaces: linear combinations, spanning sets, linear independence, basis, and dimension in MATH 2568
• Linear transformations and matrix representations: kernel, range, rank-nullity theorem, and coordinate mappings at OSU
• Orthogonality and inner product spaces: Gram-Schmidt process, orthogonal projections, and least-squares approximations
• Matrix diagonalization and spectral theory: characteristic polynomials, geometric vs. algebraic multiplicity, and symmetric matrices in Linear Algebra