- #1

Dell

- 590

- 0

^{4}W={(a b c d)} and know a+c=0 c-2d=0, and am asked to find a basis for W,

i wrote (-2 0 2 1)(0 1 0 0),

now i am asked to find the missing vectors so that the new basis will be a basis for R

^{4}. to find this i need vectors that are independant and are the basis for R

^{4}-W? how can i do this??

just a guess would be (-2 0 2 1)(0 1 0 0)(0 0 1 0)(0 0 0 1) but that's just because i know that those four would cover the whole space and are independant. what is the mathematical way of solving this?