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    Milwaukee School of Engineering
  Sep 25, 2017
2017-2018 Undergraduate Academic Catalog
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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

Yvonne Yaz

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