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© BrainMass Inc. brainmass.com December 24, 2021, 6:17 pm ad1c9bdddf
Vectors, linear transformations, eigenvectors and eigenvalues are investigated. The solution is detailed and well presented.