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==Examples==
* In order to be conformable to addition, matrices need to have the same dimension. Thus ''A'', ''B'' and ''C'' all must have dimension ''m'' × ''n'' in the equation
::<math>A + B = C</math>
:for some fixed ''m'' and ''n''.
* For [[matrix multiplication]], consider the equation
::<math>AB = C.</math>
:If ''A'' has dimension ''m'' × ''n'', then ''B'' has to have dimension ''n'' × ''p'' for some ''p'', so that ''C'' will have dimension ''m'' × ''p''.
==See also==
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