** Did I find the correct basis?
** Also, is there a way to change the Thread topic? I don't need to call it Diagonalizable Matrix...(that's the third part of the question, but it's not hard...)
Question: Prove is an eigenvalue of A and find a basis for it's space.
Solution: (My friend gave a different answer so I'd like to know which one is correct)
if matrix A is singular. Matrix A is clearly singular...
To find a basis, I do the elementary operations on matrix A and I'm left with
Matrix A has a rank of 1 ---- dimp=n-p(A) ---- dimp = n-1
.
.
.
+ +...+
and those eigenvectors form the basis for that space.
My friend got:
, ,...,
So which is the correct answer? (or is it possible they are both correct...or incorrect)