SOLUTION: Please help me solve this question. Im just not understanding the concepts yet in class. Let v1 = (1, 1, 1, 1), v2 = (1, 1, 1, 0), v3 = (1, 1, 0, 0), v4 = (1, 1, 0, -1) within R

SOLUTION: Please help me solve this question. Im just not understanding the concepts yet in class. Let v1 = (1, 1, 1, 1), v2 = (1, 1, 1, 0), v3 = (1, 1, 0, 0), v4 = (1, 1, 0, -1) within R

Algebra.Com

Question 855154: Please help me solve this question. Im just not understanding the concepts yet in class.
Let v1 = (1, 1, 1, 1), v2 = (1, 1, 1, 0), v3 = (1, 1, 0, 0), v4 = (1, 1, 0, -1) within R^4
(vectors were listed vertically unlike how they are now listed horizontally)
What is the dimension of sp(S)?
Answer by Fombitz(32388) (Show Source): You can put this solution on YOUR website!
v4 is a linear combination of v1,v2,v3.
Span(S)=3
RELATED QUESTIONS
1)In 3d-space, let v1=(0,2,1) v2=(2,1,1) v3=(1,3,-1) v4=(4,2,1). Write v4 as linear... (answered by Fombitz)

Let v1=(1,6,4), v2=(2,4,-1), v3=(-1,2,5) and w1=(1,-2,-5), w2=(0,8,9). Prove that... (answered by khwang)

Let S={v1, v2, v3}where v1^T=[1 0] v2^T=[0 1] v3^T=[-1 1] (answered by venugopalramana)

Let v1=[2,0,6] , v2=[-1,4,5] , v3=[1,-1,1]. Find the value(s) of k for which b=[2,1,k]... (answered by ikleyn)

I have a homework problem that I don't know how to do. I'm asked to solve the following (answered by venugopalramana)

Let A: [v1 v2 v3] with v1=(1,-1,0)T, v2=(2,0,-2)T and v3=(3, -3,3)T a) Show that... (answered by rothauserc)

Determine if the vectors v1 = (1,2,3), v2 = (1,0,-1), v3 = (2,2,2), v4 = (2,4,6) span R^3 (answered by ikleyn)

Given the formula from physics, v=v1 +v2/1+v1v2/c^2, solve for... (answered by Nate)

Let v1= [0, -9, -9], v2 = [1, -3, -3], v3 = [1, 0, 0] Determine whether or not the... (answered by ikleyn)