Uni Stuff > Mathematics

Brendan's questions

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brendan:
Find the matrix of the transformation T which orthogonally project a point (x,y,z) onto the plane x + y + z = 0.

brendan:
anyone?  :(

brendan:
nvm i solved it :)

Now for another one:

Prove that for an invertible matrix is an eigenvalue of if and only if is an eigenvalue of What relationship holds between the eigenvectors of  and 

I'm not sure abt the stuff in red

phagist_:
The eigenvalue of smallest magnitude of a matrix is the same as the reciprocal of the largest eigenvalue of the inverse of the matrix.

Not sure if that is what they're after, though.

brendan:
Let , otherwise

Show that at

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