April 2022
Beginner to intermediate
252 pages
5h 43m
English
Content preview from Essential Mathematics for Quantum Computing
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Chapter 5: Using Matrices to Transform Space
Linear transformations are one of the most central topics in linear algebra. Now that we have defined vectors and vector spaces, we need to be able to do things with them. In Chapter 3, Foundations, we manipulated mathematical objects with functions. When we manipulate vectors in vector spaces, mathematicians use the term linear transformations. Why the change of terminology? As with most things in linear algebra, the wording is inspired by Euclidean geometry. We will see that, geometrically, these "functions" actually "transform" vectors from one direction and length to another. But this visual transformation has been generalized algebraically to all types of vectors (n-tuples of numbers, functions, ...
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I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.