Mar 20, 2023  
2015-2016 Undergraduate Academic Catalog 
2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG]

Add to Portfolio (opens a new window)

MA 2830 - Linear Algebra for Math Majors

4 lecture hours 0 lab hours 4 credits
Course Description
Topics include the use of elementary row operations to solve systems of linear equations, linear independence, matrix operations, inverse of a matrix, linear transformations, vector spaces and subspaces, coordinate systems and change of bases, determinants of matrices and their properties, eigenvalues, eigenvectors, diagonalization, inner product and orthogonality, the Gram-Schmidt Process, and the least-squares problem. Particular emphasis is given to proper mathematical reasoning and presentation of solutions. The students will use Matlab to explore certain applications.  (prereq: MA 1830 
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
  • Understand the basic theory of linear algebra
  • Apply the basic row operations to solve systems of linear equations
  • Solve a matrix equation and a vector equation
  • Understand the concept of linear dependence and independence
  • Understand matrix transformations and linear transformations and the relationship between them
  • Perform all matrix operations, be able to find the inverses of matrices
  • Understand concepts of vector space, subspace and basis and be able to change bases
  • Describe the column and null spaces of a matrix and find their dimensions
  • Find the rank of a matrix
  • 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 

Prerequisites by Topic
  • None

Kseniya Fuhrman

Add to Portfolio (opens a new window)