# Linear Algebra

The University of New South Wales,

Updated On 02 Feb, 19

The University of New South Wales,

Updated On 02 Feb, 19

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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4.1 ( 11 )

This video shows how we work with lines in the plane and planes in 3D space in Linear Algebra. A line in 2D is represented by a linear equation in x and y, a plane in 3D by a linear equation in x,y and z. Both can also be described in parametric form. It is important to be able to change from a Cartesian to a parametric form.

The space of all lines in the plane has a curious connection with the Mobius band. Lines in 3D are somewhat trickier to describe since they require two linear equations.

This is the tenth video in a first course of Linear Algebra given by N J Wildberger of the School of Mathematics and Statistics at UNSW. NJ Wildberger is also the developer of Rational Trigonometry a new and better way of learning and using trigonometry---see his WildTrig YouTube series under user `njwildberger. There you can also find his series on Algebraic Topology, History of Mathematics and Universal Hyperbolic Geometry.

Sam

Sep 12, 2018

Excellent course helped me understand topic that i couldn't while attendinfg my college.

Dembe

March 29, 2019

Great course. Thank you very much.