Outer Product

We might best explain the Outer Product by showing an example. Assume two vectors, ‘u’ and ‘v’:

$u = (u_1, u_2, u_3)$
$v = (v_1, v_2, v_3, v_4, v_5)$

$u \otimes v = \begin{bmatrix} u_1v_1 && u_1v_2 && u_1v_3 && u_1v_4 && u_1v_5 \\ u_2v_1 && u_2v_2 && u_2v_3 && u_2v_4 && u_2v_5 \\ u_3v_1 && u_3v_2 && u_3v_3 && u_3v_4 && u_3v_5 \end{bmatrix}$

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