Linear Algebra SP15

Welcome to an undergraduate course in Linear Algebra (MTH231).

 

Course Module: Linear Algebra SP15

Handouts                        Problem Set

SESSIONALS:

First Sessional Spring 2015

Second Sessional Spring 2015

ASSIGNMENTS:

Assignment # 1: System of Linear Equations, Row Reduction and Echelon Forms, Vector Equations, Matrix Equations, Solution Sets of Linear Systems, Linear Independence, Introduction to Linear Transformations, the Matrix of a Linear Transformation, Applications

Solution Assignment # 1

Assignment # 2: Matrix Operations, the Inverse of a Matrix, Characterization of Invertible Matrices, Matrix Factorizations, Applications to Computer Graphics New

Solution Assignment # 2

Assignment # 3: Introduction to Determinates and Properties of Determinants, Vector Spaces and Subspaces, Null Spaces, Column SpacesNew

Solution Assignment # 3

Assignment # 4: Bases, Dimension, Rank, Eigenvectors and Eigenvalues, • The Characteristic Equation, Cayley’s Hamilton Theorem,• Diagonalization, Applications

QUIZZES:

Quiz # 1: Systems of Linear Equations, Row Reduction and Echelon Forms

Quiz # 2: Vector equation, Matrix equation

Quiz # 3: Matrix Operations, The Inverse of a Matrix, Characterization of Invertible Matrices, Matrix Factorizations, Applications to Computer Graphics

Quiz # 4: Basis, Dimension, Coordinate vectors, Rank, Eigenvalues and Eigenvectors, The characteristic equation, Diagonalization

DEADLINES:

Assignment # 4: May 2015New

NOTE: The lectures, assignments, problems and quizzes above are loosely based on the text book: David C. Lay, Linear Algebra, 4th Edition, Addison-Wesley.

Leave a Reply

Your email address will not be published. Required fields are marked *