- #1
McLaren Rulez
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Hi,
Can anyone help me prove that two commuting matrices can be simultaneously diagonalized? I can prove the case where all the eigenvalues are distinct but I'm stumped when it comes to repeated eigenvalues.
I came across this proof online but I am not sure how [tex]B'_{ab}=0[/tex] implies that B is block diagonal. Thank you.
http://www.mathematics.thetangentbundle.net/wiki/Linear_algebra/simultaneous_diagonalization_of_commuting_normal_matrices is the link for the proof.
Can anyone help me prove that two commuting matrices can be simultaneously diagonalized? I can prove the case where all the eigenvalues are distinct but I'm stumped when it comes to repeated eigenvalues.
I came across this proof online but I am not sure how [tex]B'_{ab}=0[/tex] implies that B is block diagonal. Thank you.
http://www.mathematics.thetangentbundle.net/wiki/Linear_algebra/simultaneous_diagonalization_of_commuting_normal_matrices is the link for the proof.
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