- #1
Coolphreak
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Homework Statement
I want to prove that the eigenvectors corresponding to the 0 eigenvalue of hte matrix is the same thing as the kernel of the matrix.
Homework Equations
A = matrix.
L = lambda (eigenvalues)
Ax=Lx
The Attempt at a Solution
Ax = 0 is the nullspace.
Ax = Lx
Lx = 0.
L= 0.
the eigenvectors corresponding to the 0 eigenvalue are the same as the nullspace.
Is this a sufficient enough proof?