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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 17: WildLinAlg17 Rank and Nullity of a Linear Transformation

4.1 ( 11 )


Lecture Details

We begin to discuss linear transformations involving higher dimensions (ie more than three). The kernel and the image are important spaces, or properties of vectors, associated to a linear transformation. The corresponding dimensions are the nullity and the rank, and they satisfy a simple relationship which we derive.

This lecture looks in detail at one particular example, and we try to give a working understanding of four dimensional space and its picotiral representation.

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Sam

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

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Dembe

Great course. Thank you very much.

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