# 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

Â© BrainMass Inc. brainmass.com December 24, 2021, 6:17 pm ad1c9bdddfhttps://brainmass.com/math/linear-algebra/vectors-linear-transformations-eigenvectors-eigenvalues-103388

#### Solution Summary

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

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