Wikipedia:Reference desk/Archives/Mathematics/2022 September 15

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September 15

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matrix equivalence

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Hi,

Why can we say that the two following matrices :

 

are equivalent matrices? 87.88.174.86 (talk) 02:28, 15 September 2022 (UTC)[reply]

Where did you find this symbolic matrix equality? It uses strange notations that do not make sense to me. Whatever they may mean, given two matrices   and   of the same shape, one may assume they are equal (as an assumption in a proof), one may require them to be equal (as something that is given in a subsequent proof), or one may (hope to) prove they are equal.   then means the same as   for all corresponding matrix entries. I would need to see the context to understand why the author used the term "equivalent" instead of the simpler "equal".  --Lambiam 03:19, 15 September 2022 (UTC)[reply]