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Given the plane (x, -y, 0)

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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