Finding Vectors to Span Set W: Can u and v Fully Represent W?

cdub2
Messages
5
Reaction score
0
I am having some trouble with this problem...

Let W be the set of all vectors of the form:

(-5b-4c
b
c)

^ (that is supposed to be in vector form)

Find vectors u and v such that W = Span {u,v}.
 
Physics news on Phys.org
Hint:
x=-5b-4c
y=1b+0c
z=0b+1c
 
thanks !
 

Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
View full post »

Similar threads

Given specific v, dimension of subspace of L(V, W) where Tv=0?
Replies
15
Views
2K
Finding a complementary subspace ##U## | Linear Algebra
Replies
4
Views
2K
Null space of dual map of T = annihilator of range T
Replies
1
Views
2K
Tricky Problem: Prove range T = null ##\phi## when null T' has dim 1
Replies
8
Views
1K
Finding the Dimension of a Vector Space: The Matrix Method
Replies
2
Views
2K
Given surjective ##T:V\to W##, find isomorphism ##T|_U## of U onto W.
Replies
1
Views
1K
Are u, v, w Linearly Independent and a Spanning Set for R2?
Replies
3
Views
2K
I Characterizing linear independence in terms of span
Replies
3
Views
1K
Finding Orthogonal Unit Vector to 3 Vectors
Replies
1
Views
2K
Is a Vector Orthogonal to a Set Also Orthogonal to Its Span?
Replies
8
Views
2K

Hot Threads

Recent Insights

Back
Top