Translation and analysis of words by ChatGPT artificial intelligence
On this page you can get a detailed analysis of a word or phrase, produced by the best artificial intelligence technology to date:
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equivalent keys - translation to russian
![Jeremias Benjamin Richter (1762–1807), one of the first chemists to publish tables of equivalent weights, and also the coiner of the word "[[stoichiometry]]".](https://commons.wikimedia.org/wiki/Special:FilePath/Jeremias Benjamin Richter.jpeg?width=200 "Jeremias Benjamin Richter (1762–1807), one of the first chemists to publish tables of equivalent weights, and also the coiner of the word \"[[stoichiometry]]\".")
2.JPG?width=200 "Powdered bis(dimethylglyoximate)nickel. This coordination compound can be used for the gravimetric determination of nickel.")
![Burette over a conical flask with [[phenolphthalein]] indicator used for [[acid–base titration]]](https://commons.wikimedia.org/wiki/Special:FilePath/Titration.png?width=200 "Burette over a conical flask with [[phenolphthalein]] indicator used for [[acid–base titration]]")
строительное дело
эквивалентная масса
Definition
Wikipedia
In linear algebra, two rectangular m-by-n matrices A and B are called equivalent if
for some invertible n-by-n matrix P and some invertible m-by-m matrix Q. Equivalent matrices represent the same linear transformation V → W under two different choices of a pair of bases of V and W, with P and Q being the change of basis matrices in V and W respectively.
The notion of equivalence should not be confused with that of similarity, which is only defined for square matrices, and is much more restrictive (similar matrices are certainly equivalent, but equivalent square matrices need not be similar). That notion corresponds to matrices representing the same endomorphism V → V under two different choices of a single basis of V, used both for initial vectors and their images.
