A Real Vector Space over the Rational Field is Infinite-Dimensional

Last updated Nov 1, 2022

TODO - $\mathbb{R}^{n}$ over $\mathbb{Q}$ is an Infinite-Dimensional Vector Space (this uses countability of Linear Combinations with Rational Numbers as coefficients).

• Real Numbers

1. Hoffman and Kunze - Linear Algebra - Section 2.3 Problem 14 pg 49