National College Credit Recommendation Service

## Linear Algebra (MAT-305)

Length:

Varies (self-study; self-paced).

Location:
Various; distance learning format.
Dates:

April 2019 - Present.

Instructional delivery format:
Online/distance learning
Learner Outcomes:

Upon completion of this course, students will be able to: solve systems of linear equations and perform operations on vectors; determine if a given set of vectors is linearly independent and perform linear transformations; determine if the inverse of a matrix exists, calculate the inverse of a matrix, and identify geometric changes of matrices; determine if a vector is in a vector space, identify properties of determinants, and apply Cramer’s rule to solve linear systems; determine whether a given set is a vector space or subspace, find a basis for a column space, and map a vector to its coordinate vector in a basis; find the dimension of a subspace, apply the rank theorem, and map a coordinate vector from one base to another; calculate eigenvalues, determine if a vector is an eigenvector, and diagonalize matrices; determine orthogonality projections and orthogonality of vectors; determine symmetry and orthogonality of matrices, find the matrix of a quadratic form; and find the singular values of a matrix.

Instruction:

This course provides students with a working knowledge of the concepts in linear algebra and the underlying theory and applications in linear algebra.Topics include: linear systems, matrix algebra, determinants, vector spaces, eigenvalues and eigenvectors, orthogonality, symmetric matrices, and quadratic forms. Instructional methods include: study guide, required readings, and a final exam.

Credit recommendation:

In the lower division baccalaureate/associate degree category OR in the upper division baccalaureate degree category, 3 semester hours in Accounting, Business, Computer Science, Data Sciences, Engineering, Economics, Finance, Marketing, or Mathematics (4/19).