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Diagonalizable matrix
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aline
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Joined: 29 Nov 2006
Posts: 2

PostPosted: Wed Nov 29, 2006 3:08 am    Post subject: Diagonalizable matrix Reply with quote

A=[0 0 0 0
a 0 0 0
0 b 0 0
0 0 c 0]

Can this matrix by diagonalizable?
There is only one eigenvalue with order of multiplicity 4. So we need the dimension of the nullspace of A to be 4, so that A is a diagonalizable matrix.
I found that this is true just in case a=b=c=0. But this really confusing me...Am I right?
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