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Linear Algebra

Lecture 5: WildLinAlg5:Change of coordinates and determinants

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Lecture Details :

In this video we discuss the fundamental problem of Linear Algebra, namely how to invert a linear change of coordinates. We also introduce determinants, via bi-vectors and tri-vectors.

Course Description :

This course on Linear Algebra is meant for first year undergraduates or college students. It presents the subject in a visual geometric way, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine algebraic geometry. Flexibility in choosing coordinate frameworks is essential for understanding the subject. Determinants also play an important role, and these are introduced in the context of multi-vectors in the sense of Grassmann. NJ Wildberger is also the developer of Rational Trigonometry: a new and better way of learning and using trigonometry.

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