As the title says, how do I classify up to similarity all nxn nilpotent matrices over K for n less than or equal to 5? I have no clue, any thoughts?

- May 11th 2013, 05:25 PMRitaClassify up to similarity all nxn nilpotent matrices over K for n<=5
As the title says, how do I classify up to similarity all nxn nilpotent matrices over K for n less than or equal to 5? I have no clue, any thoughts?

- May 12th 2013, 02:44 AMgirdavRe: Classify up to similarity all nxn nilpotent matrices over K for n<=5
Maybe the case can give you ideas. Let be a nilpotent matrix. Either or . If , let be such that . Then forms a basis of , and in this basis, looks like .