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Mar 27, 2023
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MA 2831 - Linear Algebra for Math Majors I3 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
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
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