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    Vectors : Linear Transformations, Eigenvectors and Eigenvalues

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    Given the plane (x, -y, 0). This is the plane that is parallel with the Z axis and intersects the x,y plane through the line x-y=0 in 3 space do the following:

    a) show the normal vector

    b) construct a matrix that will reflect points across this plane

    c) Compute the eigenvalues for this matrix

    d) compute the eigenvectors for these eigen values

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    Solution Summary

    Vectors, linear transformations, eigenvectors and eigenvalues are investigated. The solution is detailed and well presented.