How do i prove that the following vectors span R3?

(1,1,0), (1,2,1), (4,6,2), (1,1,1)

I'd appreciate any help with this. Thanks.

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- Oct 26th 2008, 05:56 AMLouisespan of vectors
How do i prove that the following vectors span R3?

(1,1,0), (1,2,1), (4,6,2), (1,1,1)

I'd appreciate any help with this. Thanks. - Oct 26th 2008, 08:23 AMPlato
- Oct 26th 2008, 08:38 AMLouise
I think i have to show spanning using guassian elimination, however because i have 3 equations and 4 unknowns i find an arbitrary solution for z.

- Oct 26th 2008, 08:54 AMPlato
What is the dimension of ?

We only need that many linearly independent vectors. - Oct 26th 2008, 09:39 AMLouise
I know what you mean, the question asks to show that the vectors span R3 but are not linearly independent.

- Oct 26th 2008, 09:47 AMPlato