MAT 253 - Linear Algebra
3 Lecture Hours
Prerequisites: MAT 202
This introductory course focuses on the theory and techniques of linear algebra. Topics include vectors in n-dimensional space, matrix theory, systems of linear equations, vector space theory, linear transformations, eigenvalues and eigenvectors and inner product spaces.
Upon successful completion of the course, the student will:
- Perform basic operations with vectors in n-dimensional space.
- Perform basic operations with 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.
- Prove that a transformation between vector spaces is linear.
- Find the matrix representation of a linear transformation between two vector spaces.
- Find the eigenvalues and eigenvectors for a given matrix.
- Perform basic operations in an product space.
- Prove basic theorems in an inner product space.
- Vectors operations in n-dimensional space
- Matrix theory
- Linear systems
- Vector Space Theory
- Linear Transformations
- Eigenvalues and Eigenvectors
- Inner Product Spaces
An instructor adopted textbook and materials.
Approved By: Johnson, Alex Date Approved: 03/29/2010
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