Jul 05, 2022
 HELP 2020-2021 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (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

Coordinator
Dr. Kseniya Fuhrman