For questions about vector spaces and their properties. More general questions about linear algebra belong under the [tag:linear-algebra] tag. A vector space is a space which consists of elements called "vectors", which can be added and multiplied by scalars. In other words, these are the spaces ...

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Vector Addition and Subtraction - interpretation

If we have two vectors $a$ and $b$, both in $\Bbb R^n$, is it correct to think of $a-b$ as how similar the two vectors are? $a + b$ as moving the vector $a$ in the direction of vector $b$?
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$5$ dimensional space over $\mathbb{R}$

When coming up with a double cover of $SO(5)$, I used conjugation by matrices of the form $$\begin{pmatrix} r & q\\ \overline{q} & r \end{pmatrix}$$ where $r\in\mathbb{R}$ and $q$ is a ...