Question

Find a Basis and the dimension of the subspace span{(1,2,1,2), (2,1,0,-1),(-1,4,3,8),(0,3,2,5)} of R4

Answer 1

{(1,2,1,2), (2,1,0,-1)} is a basis.

dim is 2

Answer 2

did you just solve for linear independence and then used that to describe the basis?

Answer 3

I row reduced the matrix I created using the 4 vectors you gave above

Answer 4

yea that discerns linear independence and then from there you have a basis? because of the contraction theorem?

Answer 5

the only leading ones I get are in the first two columns. therefore I just take the two original vectors from my matrix

Answer 6

okay thank you!