What is the result of the following Kronecker product?
\begin{align*} \begin{bmatrix} a \\ b \end{bmatrix} \otimes_K \begin{bmatrix} 1 \\ 1 \end{bmatrix} &= \ ? \end{align*}
Is the "one-vector" any special case or is it simply treated like any other vector and as such, the result is a "stretched version", i.e. two $a$ and two $b$, of the vector on the left side from the product?
I know this is pretty basic but I'm currently working on a problem where it seems not to make sense to have so many duplicates.
Ok, based on the comments and some additional research, the correct answer for my question is as follows:
\begin{align*} \begin{bmatrix} a \\ b \end{bmatrix} \otimes_K \begin{bmatrix} 1 \\ 1 \end{bmatrix} &= \ \begin{bmatrix} a \\ a \\ b \\ b \end{bmatrix} \end{align*}