Find a basis for the given subspaces of R3 and R4.(adsbygoogle = window.adsbygoogle || []).push({});

a) All vectors of the form (a, b, c) where a =0.

My attempt:

I know that I need to find vectors that are linearly independent and satisfy the given restrictions, so...

(0, 1, 1) and (0, 0, 1)

The vectors aren't scalar multiples of each other and therefore not linearly dependent. What I am unsure of is how many vectors I'm supposed to list. From a previous question I posted here which talked about "Find a basis for the subspace W = Span(s)..." it was shown that since W was a subspace of R3, that its dimension was smaller than R3 so I would need less than three vectors.

**Physics Forums | Science Articles, Homework Help, Discussion**

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Lin Algebra - Find a basis for the given subspaces

**Physics Forums | Science Articles, Homework Help, Discussion**