Linear Algebra Example Problems Coordinate System Representation Example 1

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http://adampanagos.org • Course website: https://www.adampanagos.org/ala • When working with vectors we often implicitly use the standard basis. For example, the vector x = [2; -3] tells us the coordinates with respect to the standard basis {[1; 0], [0; 1]}. • At other times it is desirable to work with different coordinate systems that are represented by a different basis. We denote the vector x with respect to the basis B as [x]B. • In this problem we're provided a basis B and the [x]B. We then compute the vector x, the coordinates of [x]B with respect to the standard basis. • If you enjoyed my videos please Like , Subscribe , and visit http://adampanagos.org to setup your member account to get access to downloadable slides, Matlab code, an exam archive with solutions, and exclusive members-only videos. Thanks for watching!

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