(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

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.

2. Relevant equations

A = matrix.

L = lambda (eigenvalues)

Ax=Lx

3. 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?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Proving kernel of matrix is isomorphic to 0 eigenvalue's eigenvectors

**Physics Forums | Science Articles, Homework Help, Discussion**