The purpose of this course is to provide an introduction to linear algebra, a branch of mathematics dealing with matrices and vector spaces. This course describes the use of linear algebra as a compilation of diverse, but interrelated ideas that provide a way of analyzing and solving problems in many applied fields. Linear algebra has three sides: computational techniques, concepts, and applications. One of the goals of this course is to help you master all facets of the subject and see the interplay among them. The material presented in this course involves theorems, proofs, formulas, and computations of various kinds.
This graduate course is 6 weeks.
This course has a prerequisite. Please see details in the Prerequisite section below.
Attendance and participation are mandatory in all university courses, and specific requirements may differ by course. If attendance requirements are not met, a student may be removed from the course. Please review the Course Attendance Policy in the Catalog for more information.
Topics and Objectives
Systems and Linear Equations
- Solve systems of linear equations.
- Create spans using vector matrices.
- Apply linear systems to real-world scenarios.
Linear Transformations, Models, and Matrices
- Transform linear matrices.
- Demonstrate matrix operations.
- Create inverse of matrices.
- Examine applications of linear algebra in economics using Leontief’s closed model.
- Apply LU (Lower Upper) factorization to matrices.
- Describe vector spaces and subspaces.
- Determine dimension and rank for matrices.
Determinants, Eigenvalues & Eigenvectors, and General Vector Spaces
- Identify properties of determinants.
- Apply Cramer’s Rule to solve a linear system.
- Describe linear transformations using kernel and range.
- Identify eigenvalues and eigenvectors.
Vectors, Dot Products, and Markov Chains
- Model linear equations using coordinate vectors.
- Perform change of basis on a matrix.
- Apply Markov chains to real-world problems.
- Calculate orthogonal vectors using dot product.
Review Topics and Objectives from All Weeks
- Apply the concepts presented in this course.
This graduate level course requires proof of completion of a Bachelor's degree. Be prepared to provide documentation during the checkout process.
During the checkout process you will be prompted to provide proof of the requirement(s). If you completed the prerequisite at another institution be prepared to upload an official/unofficial transcript. If you have questions about meeting the prerequisite requirements for this course please contact an enrollment representative at 866-354-1800.
The University of Phoenix reserves the right to modify courses.
While widely available, not all programs are available in all locations or in both online and on-campus formats. Please check with a University Enrollment Representative
Transferability of credit is at the discretion of the receiving institution. It is the student’s responsibility to confirm whether or not credits earned at University of Phoenix will be accepted by another institution of the student’s choice.
If you have a question please contact us at 866-354-1800.