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Question Number 6856 by Tawakalitu. last updated on 31/Jul/16

Prove that the set of all m × n matrices having entries in a  field is a vector space over F.

$${Prove}\:{that}\:{the}\:{set}\:{of}\:{all}\:{m}\:×\:{n}\:{matrices}\:{having}\:{entries}\:{in}\:{a} \\ $$$${field}\:{is}\:{a}\:{vector}\:{space}\:{over}\:{F}. \\ $$

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