Matrices

Thank you very much for the info. I have been looking for this info for the last few days. Your efforts are appreciated.


Heart rhythm problems

Quote:

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Originally Posted by tmoria

an interesting point from my earlier error though...

treating as ordinary algebra





since

we have

which agrees with your matrix solution.

Is this true in all situations or just peculiar to this one ?

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it's true of all situations where the concept of "multiplicative inverse" is well-defined. the horizontal bar refers to a particular kind of inverse, one defined by division (usually reserved for elements of a field, or a localization of a ring).

Thanks for clarifying that Deveno, I was never keen on matrices when I was at school a looonnnggg time ago.

Quote:

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Originally Posted by Deveno

this makes no sense, for vectors OR matrices, division is not defined.

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I thought division was usually defined as multiplication with the inverse.
It works perfectly for matrices.
See e.g. Division (mathematics) - Wikipedia, the free encyclopedia
Furthermore, next to right division, we have left division (denoted \).