- #1
Jimmy84
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Homework Statement
-Problem number 1
Given the set {u ,v} , where u=(1,2,1) and v=(0,-1,3) in R^3 find an equation for the space generated by this set.
-Problem number 2
The subspace S is defined as S= {(x,y,z) : x + 2y - z =0}
find a set B={u,v} in R^3 such that each vector in S is a linear combination of vectors in B.
Homework Equations
The Attempt at a Solution
I have no idea how to solve problem number 2.
I don't know how to find an equation for the space in problem one
I started the problem like this (a,b,c) =(1,2,1)x + (0,-1,3)y
and then I found x and y in terms of a and b. but I don't have an idea what is meant to find an equation for the space.
I would appreciate some help, thanks a lot.