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Dec 11, 2024
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MA 383 - Linear Algebra3 lecture hours 0 lab hours 3 credits
Course Description
Topics include the use of elementary row operations to solve systems of linear equations, linear dependence, linear transformations, matrix operations, inverse of a matrix, determinants, subspaces, null spaces, column spaces, dimension and rank, eigenvalues and eigenvectors, diagonalization of matrices, and similarity. (prereq: MA 231 or MA 3501 )
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 and determinants of matrices
- Understand the concept of a subspace and basis
- Describe the column and null spaces of a matrix and find their basis and dimensions, and the rank of a matrix
- Understand the concept of similarity
- Find the eigenvalues and eigenvectors of a matrix
Prerequisites by Topic
- Differential and integral calculus
- Basic vector mathematics
Course Topics
- Introduction to systems of linear equation and solving them using matrices, row operations
- Vectors, vector and matrix equations
- Matrix operations
- Vector spaces including bases, dimension, rank and nullity
- Linear independence
- Matrix transformations, linear transformations and their relations
- Similarity
- Eigenvalues, eigenvectors and their applications
- Diagonalization
- Applications
Coordinator
Yvonne Yaz
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