Thread: Linear Algebra Question

1. Linear Algebra Question

Find an example:
Four vectors in $R^3$ (Euclidean Space) Such that no vector is a nontrivial linear combination of the other 3.

This has me stumped. Since there are more vectors than n, wouldn't that mean at least 1 of the vectors are linearly dependent and thus a nontrivial combination of the other 3?

Yes.