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Matrix multiplication
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===Dot product, bilinear form and sesquilinear form=== The [[dot product]] of two column vectors is the unique entry of the matrix product :<math>\mathbf x^\mathsf T \mathbf y,</math> where <math>\mathbf x^\mathsf T</math> is the [[row vector]] obtained by [[transpose|transposing]] <math>\mathbf x</math>. (As usual, a 1Γ1 matrix is identified with its unique entry.) More generally, any [[bilinear form]] over a vector space of finite dimension may be expressed as a matrix product :<math>\mathbf x^\mathsf T \mathbf {Ay},</math> and any [[sesquilinear form]] may be expressed as :<math>\mathbf x^\dagger \mathbf {Ay},</math> where <math>\mathbf x^\dagger</math> denotes the [[conjugate transpose]] of <math>\mathbf x</math> (conjugate of the transpose, or equivalently transpose of the conjugate).
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