Conformable matrix: Difference between revisions

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AIn [[matrix (mathematics)|matrix]], ina [[matrix (mathematics)|matrix]] is '''conformable''' if its dimensions are suitable for defining some operation (''e.g.'' addition, multiplication, etc.).
 
==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'' &times; ''n'', then ''B'' has to have dimension ''n'' &times; ''p'' for some ''p'', so that ''C'' will have dimension ''m'' &times; ''p''.
 
==See also==