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Article #539136

Re: Viatron

#539136
From: Shmuel Metz
Date: Sun, 07 Jul 2013 03:54
31 lines
3045 bytes
In <51d85296...@news.eternal-september.org>, on 07/06/2013
   at 05:30 PM, jsavard@excxn.aNOSPAMb.cdn.invalid (John Savard) said:

>Hmm. Matrices, as I'm thinking about them, are a next step up from
>things like complex numbers and quaternions. They are no longer a
>division algebra, since not every matrix has an inverse.

Well, the next step after quaternions is Cayley numbers (Octonions),
which are not associative.

>Since operations can be performed with matrices,

Some operations can be performed with some matrices.

>and they behave like numbers

Not even close, e.g., any nonzero number is invertible, the product of
two arbitrary numbers is well defined..

>one can define the sine of a matrix

Only if it is a square numeric matrix. Is a 2x3 matrix a matrix?
According to every text that I've seen it is.

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From: Shmuel (Seymour J.) Metz <spamtrap@library.lspace.org.invalid>
Date: Sat, 06 Jul 2013 23:54:33 -0400
Subject: Re: Viatron
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