2011-2012 Official General Catalog [Archived Catalog]
|
MAT 264 - Linear Algebra
Linear equations and matrices, vector spaces, inner product spaces, linear independence, linear transformations. Determinants and Cramer’s rule, systems of homogeneous equations, Gram-Schmidt process and diagonalization. Eigenvalues and eigenvectors and applications.
Prerequisite- Corequisite
Prerequisite: MAT 182 Calculus II w/Analytic Geometry
Credits: 4
Hours
4 Class Hours
Course Profile
Learning Outcomes of the Course:
Upon successful completion of this course the student will be able to:
1. Solve systems of equations using Gauss-Jordan elimination.
2. Find non-trivial solutions to homogeneous systems of equations.
3. Find the inverse of a matrix by elementary row operations.
4. Compute determinants and solve equations using Cramer’s rule.
5. Define a vector space.
6. Determine if a set of vectors form a vector space.
7. Determine if a set of vectors are independent.
8. Determine if a set of vectors span a given vector space.
9. Find the dimension of a vector space and determine if a set of vectors form a basis for the space.
10. Find the dimension of the row space and column space of a matrix.
11. Find the rank of a matrix.
12. Define an inner product space.
13. Use the Gram-Schmidt process to generate an orthogonal and orthonormal basis for a vector space.
14. Diagonalize a matrix using eigenvalues and eigenvectors.
15. Define a linear transformation and show a given transformation is linear.
16. Represent a linear transformation by a matrix.
17. Find the range and kernel of a linear transformation.
18. Use the techniques and concepts of linear algebra in a variety of real-life applications.
|
