MAT 253 - Linear Algebra
Credits: 3
3 Lecture Hours
Prerequisites: MAT 201
Description
This course introduces students to the theory and techniques of linear algebra. Students explore topics such as vectors in n-dimensional space, vector space theory and matrix theory. Additionally, students solve systems of linear equations and perform linear transformations. Students also study eigenvalues, eigenvectors and calcuations in inner product spaces.
Learning Outcomes
Upon successful completion of the course, the student will:
- Perform basic operations with n-dimensional vectors and matrices.
- Solve a system of m linear equations in n unknowns.
- Prove basic theorems in a vector space.
- Perform basic operations with vectors in the standard matrix spaces and function spaces.
- Determine whether a transformation between vector spaces is linear.
- Construct the matrix representation of a linear transformation between two vector spaces.
- Compute the eigenvalues and eigenvectors for a matrix.
- Perform basic operations in an inner product space.
- Prove basic theorems in an inner product space.
Listed Topics
- Vectors operations in n-dimensional space
- Matrix theory
- Linear systems
- Vector space theory
- Linear transformations
- Eigenvalues and eigenvectors
- Inner product spaces
Reference Materials
Each student is required to have a textbook/e-book/homework system adopted by the Mathematics Department at the specific Campus.
Students who successfully complete this course acquire general knowledge, skills and abilities that align with CCAC’s definition of an educated person. Specifically, this course fulfills these General Education Goals: - Critical Thinking & Problem Solving
- Quantitative & Scientific Reasoning
Approved By: Dr. Quintin B. Bullock Date Approved: 5/8/2023
Last Reviewed: 5/8/2023
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