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Product Law

Mathematics · Class 10

You cannot write (AB)^T = A^T B^T in general. Reverse the order: B^T A^T. Same warning as AB != BA.

reverse the product
rows <-> columns
(AB)^T = B^T A^T
keep the ideas separate
Product Law: You cannot write (AB)^T = A^T B^T in general. Reverse the order: B^T A^T. Same warning as AB != BA.
WHAT — PRODUCT LAW: You cannot write (AB)^T = A^T B^T in general. Reverse the order: B^T A^T. Same warning as AB != BA.
HOW — Use the idea: Identify what is given, select this topic's rule or evidence, apply it one step at a time, and check
CORE UNDERSTANDING: You cannot write (AB)^T = A^T B^T in general. Reverse the order: B^T A^T. Same warning as AB != BA.

Right triangle — Product Law — original sketch for this lesson (not copied from a textbook).