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Milwaukee School of Engineering

Sep 25, 2017

# MA 383 - Linear Algebra

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 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