# Linear Algebra II

University of the South Pacific

## Course Description

• ### Course Name

Linear Algebra II

• ### Host University

University of the South Pacific

Suva, Fiji

• ### Area of Study

Algebra, Mathematics

• ### Language Level

Taught In English

• ### Prerequisites

MA112: Calculus 2

• ### Course Level Recommendations

Upper

ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.

### Hours & Credits

• Credits

3 - 4
• Recommended U.S. Semester Credits
3 - 4
• Recommended U.S. Quarter Units
4 - 6
• ### Overview

This is a second course on Linear Algebra at USP. The first course, namely MA111 (Calculus I and Linear Algebra I), covered the first 3 chapters of the textbook by Larson, Edwards and Falvo. This course covers the rest of the chapters of the textbook. Students having difficulty understanding the various topics in this course should go back and read relevant sections from chapters 1 to 3 of the textbook. The primary goal of this course is to look at vector spaces, inner product spaces, linear transformations, eigenvalues and eigenvectors and their applications. The topics that we will cover in this course are as follows: Vectors in Rn, Vector spaces, Subspaces of vectors spaces, Spanning sets and linear independence, Basis and dimension, Rank of a matrix and systems of linear equations, Coordinates and change of basis, Applications of vectors spaces, Length and dot product in Rn, Inner product spaces, Orthonormal basis: Gram-Schmidt process, Mathematical models and least squares analysis, Applications of inner product spaces, Introduction to linear transformations, Kernel and range of linear transformations, Matrices of linear transformations, Transition matrices and similarity, Applications of linear transformations, Eigenvalues and eigenvectors, Diagonalization, Symmetric matrices and orthogonal diagonalization, Application of eigenvalues and eigenvectors.
Learning Outcomes
- Explain and discuss concepts of linear algebra.
-Apply basic knowledge of Linear Algebra to solve various practical problems.
- Appraise the quality and applicability of computer generated solutions.

### Course Disclaimer

Courses and course hours of instruction are subject to change.

Eligibility for courses may be subject to a placement exam and/or pre-requisites.

Some courses may require additional fees.

Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.

Please reference fall and spring course lists as not all courses are taught during both semesters.

Availability of courses is based on enrollment numbers. All students should seek pre-approval for alternate courses in the event of last minute class cancellations

Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.