Week 2:

Core Topics in Sections 1.1 and 1.2

1. Definitions of Linear Equation, System of Linear Equations, Solution Set, Equivalent Systems, Consistent/inconsistent Equations.
2. Definitions of Coefficient Matrix and Augmented Matrix. Know how to write down Coefficient (Augmented) Matrix for any linear systems. Know how to find corresponding linear systems based on augmented matrix.
3. Definitions of the three Elementary Row Operations (Replacement, interchange, Scaling)
4. Definitions of Echelon Form and Reduced Echelon Form.
5. Definitions of Pivot Positions and Pivot Columns.
6. Theorem 1 on Uniqueness of the reduced echelon form.
7. The Row Reduction Algorithm (Step 1 - 5 summarized in Section 1.2). Know how to apply this algorithm to row reduce any matrix into its reduced echelon form.
8. Definitions of Basic Variables and Free Variables.
9. How to use elementary row operations to solve a linear system.
10. Theorem 2 (Existence and Uniqueness Theorem in Section 1.2)

Homework #2 (due by 5pm Tuesday, 01/30/2018)

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

Matlab Basics 1 by Yonatan Katznelson

Matlab Basics 2 by Yonatan Katznelson