
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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