but to get it to be nilpotent, a^2=0 and a^(2-1)doesn't eqaul 0, a and b must be given values.. but the only values I've found to work to solve the first part.. proving the second part of the nipotent seems impossible for 2.. because so far a and b being =0 kills the second part of the check
Homework Statement
Determine a and b such that A is nipotent of index 2.
A:= <<a,b>|<0,0>>
A is a 2x2 matrix column 1 is a and b , column 2 is 0's
Homework Equations
A^k=0 to be nilpotent and to be nipotent it has to be that A^(k-1) doesn't equal 0..
The Attempt at a...