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    Eigenvector and Eigenvalue - Math is Fun

    • Learn how to find eigenvalues and eigenvectors of a matrix, and how they are used in transformations and physics. See examples, definitions, and applications with diagrams and equations.… See more

    The Mathematics of It

    For a square matrix A, an Eigenvector and Eigenvalue make this equation true: Let us see … See more

    Math is Fun
    How Do We Find These Eigen things?

    We start by finding the eigenvalue. We know this equation must be true: Av = λv Next we put in an identity matrixso we are dealing with matrix-vs-matrix: Av = λIv Bring all to left ha… See more

    Math is Fun
    Why?

    What is the purpose of these? One of the cool things is we can use matrices to do transformationsin space, which is used a lot in computer graphics. In that case the eigenvecto… See more

    Math is Fun
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