Hi, I'm not native English, what is the name the following product. Let a n-column vector and b m-row vector, than c = a × b resultes a n-by-m-matrix:
c_ij = a_i * b_j.
$\displaystyle \bold{b}$ is an $\displaystyle m \times 1$ vector and $\displaystyle \bold{a}$ an $\displaystyle 1 \times n.$ so $\displaystyle \bold{b}\bold{a}$ is an $\displaystyle m \times n$ matrix. clearly $\displaystyle (\bold{b}\bold{a})^T$ would be the matrix that you called $\displaystyle \bold{c}.$