1.2.7. Week 7 - 10/5

No Class on Friday: Friday, October 9 is Pause Day at Kansas State University.

Agenda for this week:

This week we cover how to solve square matrix systems of linear equations.

Reading:

• 6.3. Geometric Transforms – skip

• 6.4. Systems of Linear Equations

• 6.5. Elimination

• 6.6. LU Decomposition

Video:

• Section 6.4 - Systems of Linear Equations

• Section 6.4.4 - The Column - Row Factorization

• Section 6.4.5 - The Column and Row View

• Section 6.5 - Elimination - part 1

• Section 6.5 - Elimination - part 2

• Section 6.6 - LU Decomposition - 2024

I made a mistake and LU Decomposition wasn’t recorded in 2025, so see the recording from 2024.

Annotated notes:

• Wall fallowing vectors - notes/Wall-fallow-vectors.pdf

• Inverse of Matrix Products - notes/Matrices.pdf

• Determinant - notes/Determinant.pdf

• Elimination - notes/Elimination.pdf

• Column View of Systems of Equations - notes/Column-View.pdf

• LU Decomposition - notes/LU-Decomposition.pdf

• LU Decomposition Update - notes/LUdecomp.pdf

• Cholesky Decomposition Example - notes/Cholesky_example.pdf

Assignments:

• Matrix Homework, Hints for Matrix Homework Assignment

• Progress Checks: 6.1, 6.2, 6.4, Week 7 Progress Check Quiz Hints