MATH 430 - Linear Algebra II

(3 units)

Vector spaces; duality, direct sums; linear maps: eigenvalues, eigenvectors, rational and Jordan forms; bilinear maps, quadratic forms; inner product spaces: symmetric, skewsymmetric, orthogonal maps, spectral theorem.

Prerequisite(s): MATH 330.

Grading Basis: Graded
Units of Lecture: 3
Offered: Every Fall - Odd Years

Student Learning Outcomes
Upon completion of this course, students will be able to:
1. demonstrate understanding of the vocabulary of Linear Algebra at an advanced level.
2. demonstrate competence at an advanced level by rigorously proving results from Linear Algebra I.
3. work with self-adjoint, normal and positive operators on inner product spaces.
4. work with special decompositions and forms of matrices: e.g. the singular value decomposition, Jordan form.

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