Find a basis of the subspace of R4 that satisfies the following equation:
The basis should be three vectors with 4 components each
I tried V1 as (-3,0,0,0), V2 as (0,-5,0,0), V3 as (0,0,-8,-4). But that was incorrect.
Wouldn't the subspace for this be the Vectors (-3,0,0,0), (0,-5,0,0), (0,0,-8,0), (0,0,0,-4) or any multiple? I feel like the basis would have to be in R4 because it is linearly independent with 4 vectors.