# Thread: Algebra problem

1. ## Algebra problem

Trying to solve this but i dont understand too well how linear independece works and i can't find a way to solve this :/.

With U1=(1,0,1) abd U2=(1,1,-1). What is the vector V such that {U1,U2,V} are linear independents.

a)(2,1,2)
b)(1,-2,5)
c)(3,2,-1)
d)(3,1,1)

How do i solve this :/??

2. ## Re: Algebra problem

Originally Posted by kym
Trying to solve this but i dont understand too well how linear independece works and i can't find a way to solve this :/.

With U1=(1,0,1) abd U2=(1,1,-1). What is the vector V such that {U1,U2,V} are linear independents.

a)(2,1,2)
b)(1,-2,5)
c)(3,2,-1)
d)(3,1,1)

How do i solve this :/??
Can you find two numbers, at least one not zero, such that $V=\alpha\cdot U_1+\beta\cdot U_2$
Then V is dependent.

3. ## Re: Algebra problem

Originally Posted by Plato
Can you find two numbers, at least one not zero, such that $V=\alpha\cdot U_1+\beta\cdot U_2$
Then V is dependent.
Sry didn't understand :/, i have to use the options?? V can't be dependent since the {...} are independents. I'm so confused :/.
Could you show me how to solve it??

PS: If someone know site or a bundle of videos that teach algebra well i would apreciate. I'm doing very bad at this and it's only the beggining

4. ## Re: Algebra problem

Originally Posted by kym
Sry didn't understand :/, i have to use the options?? V can't be dependent since the {...} are independents. I'm so confused :/.
Could you show me how to solve it??

PS: If someone know site or a bundle of videos that teach algebra well i would apreciate. I'm doing very bad at this and it's only the beggining
Go to this website

Click the $\boxed{=}$ at the end of input window.
It tells you that the V in part a) is independent.

By changing the last vector, you can work out the rest.