A First Course in Linear Algebra
A First Course in Linear Algebra (UNSW). Taught by Professor N. J. Wildberger, this course presents a geometrical view to Linear Algebra, with special orientation to applications and understanding of key concepts. The subject naturally sits inside affine geometry, which is the natural setting for vectors. Flexibility in choosing coordinate frameworks is important for understanding the subject. Determinants also play a key role, and these are introduced in the context of multi-vectors in the sense of Grassmann. The course features a careful treatment of polynomial spaces, with applications to Stirling numbers and cubic splines.
| Lecture 14 - More Row Reduction with Parameters |
This lecture continues explaining row reduction using examples. Parameters are introduced corresponding to non-leading columns of the augmented matrix of the system. We apply this to the problem of writing one vector as a linear combination of others, both in the two dimensional and three dimensional situations.
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