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Mar 22, 2023
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MA 2832 - Linear Algebra for Math Majors II3 lecture hours 0 lab hours 3 credits
Course Description
Topics include real and complex eigenvalues, eigenvectors, diagonalization, eigenvalues and linear transformations, inner product and orthogonality, orthogonal projections, the Gram-Schmidt Process, the least-squares problem, symmetric matrices and quadratic forms. (prereq: MA 2831 or MA 383 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
- Be able to find the eigenvalues and corresponding eigenvectors of matrices
- Be able to identify a diagonalizable matrix and diagonalize it
- Understand the relationship between eigenvalues and linear transformations
- Understand the concepts of orthogonality and orthogonal projections
- Apply the Gram-Schmidt Process to produce orthogonal bases
- Find the least-squares solution to a system of linear equations
- Diagonalize symmetric matrices
- Compute quadratic forms
Prerequisites by Topic
Course Topics
- Real eigenvalues and eigenvectors (4 classes)
- Diagonalization (3 classes)
- Eigenvalues and linear transformations (2 classes)
- Complex eigenvalues (2 classes)
- Inner products and orthogonality (3 classes)
- Orthogonal projections (3 classes)
- The Gram-Schmidt Process (2 classes)
- Least-square solutions to linear systems (2 classes)
- Symmetric matrices (2 classes)
- Quadratic forms (2 classes)
- Reviews and exams (5 classes)
Coordinator
Yvonne Yaz
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