Product between a column vector and a row vector I know that matrices product is correct when the number of the columns of the first matrix is equal to the number of rows of the second matrix.
Why I can't do the product between a column vector and a row vector? For example:
$$\begin{bmatrix}1 \\ 2 \\ 3 \end{bmatrix} \, \begin{bmatrix}1 & 2 & 3\end{bmatrix}$$
Thank you so much.

Matrix/vector product $C=A\cdot B$ is well define when:
$A_{n\times k}$ and $B_{k\times m}$
thus
$$C_{n\times m}$$
