BSNS102 Study Guide - Final Guide: Estonian Kroon, Linear Algebra, Parallelogram
28 Jan 2021
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Document Summary
Chapter 7: introduction to matrices non-technical sense, a linear transformation may stretch the coordinate space, but it doesn"t. This is a very useful set of transformations: n rotation n scale n orthographic projection n reflection n shearing. Chapter 8 discusses each of these transformations in detail. For now, we will attempt to gain some understanding of the relationship between a particular matrix and the transform it represents. In section 4. 2. 4, we discussed how a vector may be interpreted geometrically as a sequence of axi- ally-aligned displacements. For example, the vector [1, 3, 4] can be interpreted as a displacement of [1, 0, 0], followed by a displacement of [0, 3, 0], followed by a displacement of [0, 0, 4]. Sec- tion 5. 8. 2 described how this sequence of displacements can be interpreted as a sum of vectors according to the triangle rule: In general, for any vector v, we can write v in expanded form:
