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Jan 15, 2025
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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
• No prerequisites by topic appended
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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