Feb 23, 2024  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

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MA 2832 - Linear Algebra for Math Majors II

3 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
  • None 

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)

Yvonne Yaz

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