I totally agree with @InquisitiveInquirer. Multiplication of a (3x1) with a (1x3) matrix should give a (3x3) matrix. I was struggling with this as well. I worked with Mathematica for years, but suddenly I need to switch to Mathlab, because it makes better sense with matrix multiplication.

In case you'd like to switch to Mathlab, I give the comands + MWE for (2x1) and (1x2) matrix multiplication below.


    b1 = {a, b};
    b2 = {c, d};
    Print["Mathematica ", MatrixForm[b1], "*", MatrixForm[b2], " = ", MatrixForm[b1*b2], ". In Mathlab: ", MatrixForm[b1], ".*", MatrixForm[b2], " = ", MatrixForm[b1*b2]]
$$\text{Mathematica }\left(\begin{array}{c}a\\b\end{array}\right)*\left(\begin{array}{c}c\\d\end{array}\right)\text{ = }\left(\begin{array}{c}a c \\b d\end{array}\right)\text{. In Mathlab: }\left(\begin{array}{c}a\\b\end{array}\right).*\left(\begin{array}{c}c\\d\end{array}\right)\text{ = }\left(\begin{array}{c}a c \\b d\end{array}\right) $$