SignUpLinear Algebra
The University of New South Wales,
Updated On 02 Feb, 19
x
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.
4.1 ( 11 )
This video introduces the important idea of changing coordinates in Linear Algebra. A linear transformation can be described using many different matrices, depending on the underlying coordinate system, or ordered basis, which is used to describe the space.
The simplest case is when the linear transformation is in diagonal form. Finding such a diagonal form requires finding the eigenvalues and eigenvectors of a matrix, which we introduce in this video. We also discuss change of basis matrices.
This is the 12th 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.
