Orthogonal Complement Question

May 2010
8
0
I'm studying for finals and going over past midterms. One of the questions, along with the explanation, was this:

How are those two vectors gotten??
 

dwsmith

MHF Hall of Honor
Mar 2010
3,093
582
Florida
I'm studying for finals and going over past midterms. One of the questions, along with the explanation, was this:

How are those two vectors gotten??
You don't have to come up with those two exact vectors since any two vectors of those forms will do.

Just take the rref of A and then determine the null space.
 
May 2010
8
0
Yea but when I do the rref of A it gets messy. Just wondering how they got such nice whole number vectors and specifically how would one come up with these 2.
 

dwsmith

MHF Hall of Honor
Mar 2010
3,093
582
Florida
Yea but when I do the rref of A it gets messy. Just wondering how they got such nice whole number vectors and specifically how would one come up with these 2.
You can multiple your vectors by a constant.