General description
This is an introductory course in linear algebra and matrix theory, which are important branches of mathematics concerning vector spaces and matrices. We will study topics that will be useful in other disciplines, including systems of linear equations, matrix arithmetic and matrix algebra, determinants, vector spaces and bases, linear transformations, orthogonal subspaces, least squares problems, inner product spaces, Gram-Schmidth orthogonalization, eigenvalues and eigenvectors, diagonalization, Hermitian matrices, and the singular value decomposition. Emphasis will be given to concepts, computational methods, and applications. MATLAB will be used throughout the course.Syllabus Homework Report Format
Text book
Linear Algebra with Applications by Steven J. Leon, 7th or 8th or 9th edition (required).
Office hours
1) Mondays 13:00-15:00 2) Wednesdays 14:30-15:30 3) by appointment
Course Material
MATLAB Tutorial Chapter 1 - Theorems Examples Chapter 2 - Theorems Examples Chapter 3 - Lecture notes (updated on March 28th, covering sections 3.1 to 3.6) Chapter 4 - Lecture notes (updated on April 11th, covering sections 4.1 to 4.3) Chapter 5 - Lecture notes (updated on April 27th, covering sections 5.1 to 5.4) Chapter 6 - Lecture notes (posted on April 27th, covering section 6.1)
Homework
HW1 HW2 HW3 HW4 HW5 HW6 Solutions to HW6 HW7 Solutions to HW7
Exams
motamed@math.unm.edu
Last updated: February 2017