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Matrix addition
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[[File:Matrix addition qtl2.svg|thumb|Illustration of the addition of two matrices.]] {{Use American English|date = January 2019}} {{Short description|Notions of sums for matrices in linear algebra}} In [[mathematics]], '''matrix addition''' is the operation of adding two [[matrix (mathematics)|matrices]] by adding the corresponding entries together. For a [[Vector space|vector]], <math>\vec{v}\!</math>, adding two matrices would have the geometric effect of applying each matrix transformation separately onto <math>\vec{v}\!</math>, then adding the transformed vectors. :<math>\mathbf{A}\vec{v} + \mathbf{B}\vec{v} = (\mathbf{A} + \mathbf{B})\vec{v}\!</math>
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