Mar 27, 2023
 HELP 2015-2016 Undergraduate Academic Catalog [ARCHIVED CATALOG] Print-Friendly Page (opens a new window)

# MA 2831 - Linear Algebra for Math Majors I

3 lecture hours 0 lab hours 3 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, column and null spaces, dimension and rank, coordinate systems and change of bases, determinants of matrices and their properties. (prereq: MA 183 )
Course Learning Outcomes
Upon successful completion of this course, the student will be able to:
• Learn 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 learn how to change bases
• Find the column and null spaces of a matrix and their dimensions, and the rank of a matrix

Prerequisites by Topic
• None

Course Topics
• Introduction to systems of linear equation and solving them using matrices, row operations (6 classes)
• Vectors and matrix equations (4 classes)
• Matrix operations (4 classes)
• Vector spaces including bases, dimension, rank and nullity ( 5 classes)
• Linear independence (3 class)
• Matrix transformations, linear transformations and their relations (4 classes)
• Reviews and exams (4 classes)

Coordinator
Yvonne Yaz