The matrix is so, . Verify that is a solution and it is not.
EDIT: just writing out my working. 2 mins .
http://www.wolframalpha.com/input/?i=eigenvalues+{{1%2C+1%2C+1}%2C{2%2C2%2C+2}%2C+{3 %2C+3%2C+3}}
How is {1, 2, 3} and answer(Corresponding to EV = 6)? I get {2, 1, 0) and just can't seem to work out how they get (1, 2, 3)!
Eigen Value 6:
So, for
I obtain:
I obtain:
...And actually just typing this out i've mega confused myself as there are now 4 different basis and there's meant to be a max of 3 :S.