
orthogonal complement
Let W = span
Find a basis for the
I am really confused on how to find this.
So i turned it it a matrix and got the rref.
I must've did this wrong because the answer is
I understand how they got the 1, but I have no idea how they got 7/5 and 1/5.
Can someone please explain. Thanks in advance

First of all W^p have only one vector(why?)
Recall the definition of vectors in W^p...
Suppose (a,b,c) is in W^p then:
You will get:
(1,21)(a,b,c)=0
(1,3,3)(a,b,c)=0
A system of two equations with three variables.