- #1
boombaby
- 130
- 0
Homework Statement
Let A be any real 2x2 matrix. If A^m=0, prove that A^2=0.
Homework Equations
The Attempt at a Solution
It might be quite easy, but I cannot find any way to prove it...all my attempts failed to get any closer to the solution...(I'm not sure why it is the A^2 which should equals to 0, not A^1,or A^3...)
Any hint will be greatly appreciated!