I have this problem, I think I've solved the first part, anyway, I'd like you to see it, because I'm not sure if I've proceeded right.
The problem says: Let . Find if:
a) , where
b) A linearly independent set
So, basically what I did in a) was stating:
And then .
Is this right in the first place?
And for b) I've stated , here x and y are vectors in X.
I know there's no another possible linearly independent vector in X, so there are no others orthogonal complements I think. But I don't know how to proceed from here.
Bye, and thank you for your help, which is always useful.