Lecture 1: An Introduction to Linear Systems (Nicholson, Section 1.1)
Sub Project: Linear Algebra Lecture Videos
Video Link: Lecture 1: An Introduction to Linear Systems
Alternate Video Access via MyMedia | Video Duration: 26:50 | Description: Introduction to some areas where linear algebra appears.
0:45 Presented a “diet problem” which can be written as a linear system.
7:00 Wrote the diet problem in terms of linear combinations of vectors.
9:00 Solved the diet problem using methods from high school. (Note: you likely haven’t learnt about linear combinations of vectors yet but I hope that the explanation is clear enough that you can look past the language of “linear combinations” for the moment.
14:45 Wrote down a linear programming problem for the second diet problem (but didn’t solve it).
17:13 Introduced the language of systems of linear equations (unknowns, coefficients, linear, right-hand sides). Presented a system of 2 equations in 2 unknowns.
18:15 Discussed the system graphically and identified a solution of the system.
21:35 Performed elementary operations on the system of linear equations and studied the new linear systems graphically.
