Week 3:

    Read Sections 1.3, 1.4 and 1.5 of the Textbook

Core Topics in Sections 1.3 and 1.4

  1. Definitions of vector, Rn, linear combination, vector equation and span.
  2. Understand the equivalence between vector equation and system of linear equations.
  3. Understand geometric description of span in R2 and R3.
  4. How to define the product of a matrix and a vector.
  5. Definition of matrix equation.
  6. Theorem 3 and Theorem 4 in Section 1.4.
  7. How to use row-vector rule to compute Ax.
  8. Properties of matrix-vector product (Theorem 5).

Core Topics in Section 1.5

  1. Definition of homogeneous equation.
  2. Know how to write the solution set of homogeneous equation in parametric vector form.
  3. Theorem 6 on the structure of solution set for Ax=b.

Lecture slides of 01/23/2018

Lecture slides of 01/25/2018

Chapter 1 of the textbook (You need to acquire the book for subsequent chapters)

Extra Reading Material for Sections 1.3 and 1.4

Extra Reading Material for Section 1.5


Homework #3 (due by 5pm Tuesday, 02/06/2018)

Solutions of Homework #3


Read the Matlab Tutorials below and start learning Matlab in Lab Sessions

Matlab Basics 1 by Yonatan Katznelson

Matlab Basics 2 by Yonatan Katznelson