Post History
#1: Initial revision
by
Snoopy
·
2022-09-04T01:50:34Z (about 2 years ago)
If $\mathbf{R}$ is thought of as a vector space over $\mathbf{Q}$, what is its dimension?
It is known that $\mathbf{R}$, as a vector space over the field of *real* numbers, has the dimension $1$. I know that $\mathbf{Q}$ is also a field.
**Question**: If $\mathbf{R}$ is thought of as a vector space over $\mathbf{Q}$, what is its dimension?