Contents

Matrix multiplication¶

\[\begin{split} C_{m \times m} = A_{m \times n} B_{n \times m} \\ C_{ij} = \sum_k A_{ik}B_{kj} \end{split}\]

Properties¶

Distributive $\( A(B + C) = AB + BC \)$

Associative $\( A(BC) = (AB)C \)$

NOT commutative $\(AB \ne BA\)$