Quick Vector Space Question I am working on a practice exam and one of the questions is:
Always True or False: The set of real numbers $\mathbb{R}$, is a vector subspace of $\mathbb{R}^{1 \times 1}$
I don't really know how to approach this problem because I don't know what it means by $\mathbb{R}^{1 \times 1}$.  I've tried searching for this on the internet and even in my textbook but I can't seem to find an example with the cross notation in the vector space.
Any help would be great.

$\mathbb{R}^{1\times 1}$ is the set of $1\times 1$ matrices, with real entries.  $$\mathbb{R}^{1\times 1}=\{\left[x\right]:x\in \mathbb{R}\}$$
This is not $\mathbb{R}$, since $\mathbb{R}$ are numbers without any brackets.  In fact, the two have no elements in common at all.
There is, however, a natural isomorphism between them $f:\mathbb{R}\to \mathbb{R}^{1\times 1}$ given by $f:x\mapsto [x]$.
In short, this is a very hair-splitty type of question, that tests technical parts of a definition.
