Hi my question is

Find all the values of k for which the matrix

0, 1, 0

0, 0, 1

0, -k-2, k+3

is not diagonalizable over C. i understand how to diagonlize matrices but i do

not understand what values of k make the above statement true.

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- March 21st 2010, 01:59 PMandrewdbMatrix not diagonalizable over C
Hi my question is

Find all the values of k for which the matrix

0, 1, 0

0, 0, 1

0, -k-2, k+3

is not diagonalizable over C. i understand how to diagonlize matrices but i do

not understand what values of k make the above statement true. - March 21st 2010, 05:44 PMMoo
Hello,

I think you have no other choice than finding the characteristic polynomial and the eigenvalues.

Then find k such that at least one of the eigenspaces has a dimension < to the order of multiplicity of the eigenvalue... - March 21st 2010, 08:17 PMandrewdb