Question: Let (x in mathbb{R}^{m}) and (y in mathbb{R}^{n}) and remember that all vectors are column vectors. If (m=n), what is the difference between (x^{top} y)

Let $x \in \mathbb{R}^{m}$ and $y \in \mathbb{R}^{n}$ and remember that all vectors are column vectors. If $m=n$, what is the difference between $x^{\top} y$ and $x y^{\top}$ ? What if $m eq n$ ?

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