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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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.
Just show that these three are l.i.Quote:
Originally Posted by Louise
(1,1,0), (1,2,1), (1,1,1)
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.
What is the dimension of?
We only need that many linearly independent vectors.
I know what you mean, the question asks to show that the vectors span R3 but are not linearly independent.
Well of course they are not linearly independent. No four vectors inQuote:
Originally Posted by Louise
But three from that set are linearly independent and threrfore span
If any set spans the space, then by adding one more the set still spans the space.