Showing that an eigenbasis makes for good coordinate systems | Linear Algebra | Khan Academy

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Courses on Khan Academy are always 100% free. Start practicing—and saving your progress—now: https://www.khanacademy.org/math/linear-algebra/alternate-bases/eigen-everything/v/linear-algebra-showing-that-an-eigenbasis-makes-for-good-coordinate-systems Showing that an eigenbasis makes for good coordinate systems This is the last video in our linear algebra subject! Now move on to our first video in recreational math: https://www.khanacademy.org/math/recreational-math/vi-hart/spirals-fibonacci/v/doodling-in-math-spirals-fibonacci-and-being-a-plant-1-of-3?utm_source=YT&utm_medium=Desc&utm_campaign=recreationalmath Missed the previous lesson? https://www.khanacademy.org/math/linear-algebra/alternate_bases/eigen_everything/v/linear-algebra-eigenvectors-and-eigenspaces-for-a-3x3-matrix?utm_source=YT&utm_medium=Desc&utm_campaign=LinearAlgebra Linear Algebra on Khan Academy: Have you ever wondered what the difference is between speed and velocity? Ever try to visualize in four dimensions or six or seven? Linear algebra describes things in two dimensions, but many of the concepts can be extended into three, four or more. Linear algebra implies two dimensional reasoning, however, the concepts covered in linear algebra provide the basis for multi-dimensional representations of mathematical reasoning. Matrices, vectors, vector spaces, transformations, eigenvectors/values all help us to visualize and understand multi dimensional concepts. This is an advanced course normally taken by

Published 2009-11-15 · Watch on YouTube ↗
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