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# University Catalog

### MATH 312. Linear Algebra

Credits: 4
 Department: Mathematics Description: Matrices, matrix operations, systems of linear equations, determinants, geometry of R-n, vector spaces, subspaces, linear transformations, inner products, eigenvalues. Prerequisites: MATH 211 or MATH 221 Semester Offered: FallSpring Grading Method: ABCDF

#### Student Learning Outcomes

 1 Perform elementary row operations on matrices; determine and analyze solutions of a system of linear equations. 2 Perform matrix arithmetic, calculate determinants, and determine inverses to given matrices. 3 Identify Euclidean spaces and subspaces and other vector spaces. 4 Identify spans and spanning sets. 5 Distinguish between linearly dependent and linearly independent sets of vectors. 6 Identify bases and dimensions of vector spaces. 7 Calculate characteristic polynomials, eigenvalues and eigenvectors, and diagonalize matrices. 8 Identify and calculate with orthogonal vectors, orthogonal bases, and orthonormal bases. 9 Orthogonally diagonalize symmetric matrices.

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