# Finite dimensional space

Fringhe

## Homework Statement

How could I prove that the subset of a finite dimensional space is also finite dimensional?

N/A

## The Attempt at a Solution

I think it's more intuitive in the sense that since the vector space is finite dimensional the subset is forcibly finite dimensional.

Staff Emeritus
Gold Member
What is the definition of "finite dimensional"?

Btw, I think you mean "subspace", not "subset".

Homework Helper
do you mean subspace?

any basis for the subpace will be contained in the finite dimensional space. What is the maximum number of linearly independent vectors in any subset of a finite dimensional space?