a) Find Y such that is diagonal.
b) Find C such that
For a I get
I can't figure out b. Does it involve the Cayley-Hamilton theorem at all? I've only used that for solving not this way round. Thanks!
Thanks that's reassuring.
I've also found another question I can't do:
Give an example of a square matrix over which is not similar to a diagonal matrix, and explain why this is the case.
No clue here. I know the two matrices are similar if they represent the same linear map with respect to two different bases, but other than that I don't know.