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May 23, 2024
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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.
Units of Lecture: 3
Offered: Every Fall - Odd Years
Student Learning Outcomes:
Upon completion of this course:
1. Students will be able to demonstrate understanding of the vocabulary of Linear Algebra at an advanced level.
2. Students will be able to demonstrate competence at an advanced level by rigorously proving results from Linear Algebra I.
3. Students will be able to work with self-adjoint, normal and positive operators on inner product spaces.
4. Students will be able to work with special decompositions and forms of matrices: e.g. the singular value decomposition, Jordan form.
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