LINEAR ALGEBRA II

MATH 540

Course Description

Review of linear transformations, duality. Diagonalization of linear transformations.The Cayley Hamilton Theorem. Minimal polynomials. The Jordan canonical form. Exponential function. Inner product spaces, orthonormal bases and Gram-Schmidt orthogonalization. Operators on inner product spaces. Self-adjoint, unitary and positive operators. Spectral theorem. singular value decomposition. Bilinear and quadratic forms. Norms, bounded linear operators, matrix norms. Basic multilinear algebra. This is a second course in linear algebra.

Prerequisties

(MATH 234 or MATH 375 ), (MATH 320 , MATH 340 , MATH 341 , or MATH 375 ), and (MATH 341 , MATH 375 , MATH 421 , MATH 467 , or MATH 521 ), or graduate/professional standing or member of the Pre-Masters Mathematics (Visiting International) Program

Satisfies

This course does not satisfy any prerequisites.

Credits

Offered

Fall

Grade Point Average

3.44

2.9% from Historical

Completion Rate

100%

No change from Historical

A Rate

47.06%

38.63% from Historical

Class Size

-6.42% from Historical

Instructors (2025 Fall)

Sorted by ratings from Rate My Professors

SHAMGAR GUREVITCH

[email protected]

Rating

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