x
Menu

Linear Algebra

The University of New South Wales,

Updated On 02 Feb, 19

Overview

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.

Includes

Lecture 8: WildLinAlg8 Inverting 3x3 matrices

4.1 ( 11 )


Lecture Details

The main problem of Linear Algebra is how to invert a linear change of coordinates. We solve this problem here in the important special case of
a linear change between x1,x2,x3 variables and y1,y2,y3 variables. The solution involves the 3x3 determinant. As an application, we learn how to invert a 3x3 matrix.

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.
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.

Ratings

5.0


2 Ratings
55%
30%
10%
3%
2%
Comments
comment person image

Sam

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

Reply
comment person image

Dembe

Great course. Thank you very much.

Reply
Send