Consider the following vectors from R3 265 337654469 Determi

Consider the following vectors from R3: (2,-6,5), (3,3,-7),(-6,5,-4),(-4,6,9) Determine whether these form a basis for R 3 . Give a short reason, but do not work too hard. Note: You do not have to use Gauss-Jordon.

R3 has dimension 3 so a basis for R3 will have 3 vectors only. Not more than 3 or less than 3

But we are given 4 vectors. SO it cannot form a basis for R3