Question

let matrix A= 0 1
-1 1 compute A^2, A^3,....A^7
and also what is A^2009? and why?

Answer 1

You will find a pattern.

Answer 2

Otherwise you need to diagonalize it.

Answer 3

I did not really find a pattern. How should I diagonalize it?

Answer 4

There's no way your teacher wants you to diagonalize that--look for the pattern by writing out A^1, A^2, A^3,... etc.

Answer 5

I did not find ant pattern...:-(

Answer 6

Really? How far did you go?? [Hint: There's DEFINITELY a pattern]