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Vectors : Linear Transformations, Eigenvectors and Eigenvalues

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

Solution Summary

Vectors, Linear Transformations, Eigenvectors and Eigenvalues are investigated. The solution is detailed and well presented.

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