Solving Larger Linear Systems

Solving 3×3 Linear Systems

Determinants

Solving 2×2 Linear Systems

Linear Equations with Parameters

Solving Linear Equations

An Example of Using the Four Subspaces

This pencast offers a worked out example of using the four subspaces and the Fundamental Theorem of Linear Algebra.

The Four Fundamental Subspaces in Linear Algebra

This pencast shows the construction of the four fundamental subspaces of linear algebra: Row Space, Nullspace, Column Space, and Left Nullspace.

Linear Algebra in a Nutshell

This is the famous (hehe) lecture from youtube. If you are in my class, you must check this out!

Finding some eigenvectors

In this pencast we go through an example of finding eigenvectors for a particular matrix.

Sample Quizzes for Applied Math 310 for Engineers

These are some sample quizzes from an Applied Math for Engineers class, covering some aspects of linear algebra. I strongly recommend that you study as though these were real quizzes. You should give yourself 20 minutes to do them.

Least Squares Approximation – 2 Pencasts

Here are two pencasts recapping the main ideas from Least Squares Approximations.

Eigenvector Demo

In this interactive app, a demo at hosted at UCLA gives a really nice, graphical demonstration of what applying a linear transformation does to a vector in 2-D

Review of Algebra Answers Tutoring Software 1 (Video)

Click here to try the Algebrator software yourself. Technorati Profile

Pencast of Gauss Elimination of a 3×3 Symmetric Matrix

In this pencast, Doc shows us an example of Gaussian Elimination on a 3×3 matrix. You can watch Doc as he works through the steps and hear him explaining what he’s doing. A great introduction if this is your first pencast.

Pencast of Proving the Location of the Minimum of a Quadratic Form

Here is a pencast showing that for the scalar quadraticthe minimum occurs at the value