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...Matrices transposes and inverses math introduction to linear algebra wednesday february matrix vector multiplication two views st perspective a is combination of columns x nd computed as dot product rows with notice that this requirement in order for be dened what sizes can multiplied together m n p b the ab an inner parameters must match outer become if square k positive integer we dene ak factors properties most expect hold do c ac bc ka kb scalar except commutativity general ba not commutative problems hoping are equal may well e g even both same size they still truth or ction question no abab aabb transpose denition at obtained by interchanging t i j ij ji example operation viewed ipping entries about diagonal symmetric apply twice get back where you started ca cat prove show exercise any ata...