MAT-276 Linear Algebra
A survey course of the study of elementary linear algebra through the study of finite dimensional vector spaces, linear transformations and matrices. Topics covered include vector and matrix operations, determinants, systems of linear equations, linear independence, eigenvalues and eigenvectors.
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Course Outline
Course Description
A survey course of the study of elementary linear algebra through the study of finite dimensional vector spaces, linear transformations and matrices. Topics covered include vector and matrix operations, determinants, systems of linear equations, linear independence, eigenvalues and eigenvectors.
Credit Hours
3Semester(s) Course Will Be Offered
Spring
Course Learning Outcomes
- Evaluate their results for reasonableness
- Find eigenvalues and eigenvectors
- Use equivalent conditions to determine when a set of vectors is linearly independent
- Use the concepts of vector space and linear transformations to solve systems of linear equations
- Find and Interpret determinants of matrices
- Add/Subtract/Scalar Multiply vectors
- Add/Subtract/Multiply/Invert matrices
- Use the language and notation of elementary linear algebra
Topic Outline
- 1. Systems of linear equations
- a. m equations in n unknowns
- b. Gauss-Jordan elimination
- c. Homogeneous systems of equations
- 2. Vectors and matrices
- a. Vectors
- b. Matrices
- c. Matrices and linear systems of equations
- d. Linear independence
- 3. Determinants
- a. Properties
- b. Inverses
- 4. Vector spaces
- a. Properties
- b. Subspaces
- c. Linear combinations
- d. Basis and dimension
- 5. Linear transformations
- a. Properties
- b. Rank and nullity
- c. Matrix representation
- 6. Eigenvalues and eigenvectors
- a. Eigenvalues and eigenvectors
- b. Diagonalization
- c. Jordan canonical form