Category Archives: Linear Algebra

Solving Larger Linear Systems

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Solving 3×3 Linear Systems

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Determinants

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Solving 2×2 Linear Systems

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Linear Equations with Parameters

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Solving Linear Equations

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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. Continue reading

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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. Continue reading

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Linear Algebra in a Nutshell

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

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Finding some eigenvectors

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

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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. Continue reading

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Least Squares Approximation – 2 Pencasts

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

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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 Continue reading

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Review of Algebra Answers Tutoring Software 1 (Video)

Click here to try the Algebrator software yourself. Technorati Profile

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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. Continue reading

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