# Thread: Can 4 vectors in R^5 span R^4?

1. ## Can 4 vectors in R^5 span R^4?

Hi all,
If we have 4 linearly independent vectors in R^5, do these vectors span R^4?

2. Never. They span a subspace $V$ of $\mathbb{R}^5$ such that $\dim V=4$ so, $V$ is isomorphic to $\mathbb{R}^4$ .