| |
Dec 21, 2024
|
|
|
|
|
MTH 264 Introduction to Matrix Algebra
Lecture Hours: 2
Credits: 2
Introduction to matrix algebra; systematic solution to systems of linear equations; linear transformations; eigenvalue problems.
Prerequisite: Placement into WR 115 or completion of WR 090 and MTH 252 with a grade of C or better; or consent of instructor.
Student Learning Outcomes:
- Use Gaussian elimination to determine the solution set of a system of linear equations.
- Determine whether a square matrix is invertible and find the inverse when it exists.
- Calculate the determinant of a square matrix.
- Determine if a set of vectors in Euclidean n-space is linearly independent or dependent.
- Find the matrix representation of linear transformations with respect to standard bases.
- Find the characteristic polynomial of square matrices.
- Find the eigenvalues and eigenvectors of 2x2 and 3x3 matrices with real entries.
Content Outline
- Overview of vectors in real Euclidean 2-space and 3-space.
- Complex Numbers
- Vectors
- Dot products
- Planes
- Systematic Solution of systems of linear equations and Gaussian Elimination
- Matrix Operations
- Matrix Arithmetic
- Matrix Inversion
- Determinants of Matrices
- Linear Dependence and Linear Independence of Vectors
- Linear Transformations
- Eigenvalues and Eigenvectors
|
|