Dear Alex,
On Mar 9, 12:21 pm, alex <[email protected]> wrote:
> . do not work.
> I have tried
> A.AI
> A . AI
This does not work because A and AI live in Sage, and in Sage the dot
does not mean multiplication.
A.AI means "look for an attribute named AI of the object A". Since A
has no attribute of that name, I thought you'd get an attribute error.
I am very surprised by the following:
sage: A.AI
AI
Can anyone explain this?
> maxima("A.AI")
This does not work, because A and AI live in Sage, not in Maxima.
There are underlying Maxima objects for A and AI, though. They have a
name that is automatically chosen; in my session, it is
sage: A.name()
'sage0'
sage: AI.name()
'sage1'
The Maxima objects corresponding to A and AI are obtainable under
these names:
sage: print maxima.eval('sage0')
matrix([a,b],[c,d])
Hence, for multiplying A and AI using Maxima's dot operator, you could
do:
sage: M = maxima(A.name()+'.'+AI.name())
sage: M
matrix([a*d/(a*d-b*c)-b*c/(a*d-b*c),0],[0,a*d/(a*d-b*c)-b*c/(a*d-
b*c)])
This is the correct result, since a*d/(a*d-b*c)-b*c/(a*d-b*c)
simplifies to 1.
What I wrote above is based on how Sage interfaces work in general.
Since I don't know about Maxima, I can not tell you how to ask Maxima
to simplify the coefficients of M.
Cheers,
Simon
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