Summation of Matrices

Summation of Matrices - Сообщения

#1 Опубликовано: 13.02.2011 10:20:45
rsunny

rsunny

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Hello,

I am new to sMath. During my first steps on playing around with matrices and summation of matrices I found the following bug:

[LIVE width=368 height=456]http://smath.info/live/?file=2284[/LIVE]

#2 Опубликовано: 13.02.2011 13:36:28
Radovan Omorjan

Radovan Omorjan

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Hello,

I agree, it is a bit unusual. Perhaps it is the result of Andrey's efforts regarding the introduction of block (nested) matrices.
[MATH=eng]I←mat(1,0,0,0,1,0,0,0,1,3,3)[/MATH][MATH=eng]C←mat(0,0,1,3,1)[/MATH]
[MATH=eng]sum((I*C),i,1,2)=mat(0,0,2,3,1)[/MATH]
[MATH=eng]sum((I*mat(0,0,1,3,1)),i,1,2)=mat(0,0,mat(2,0,0,0,2,0,0,0,2,3,3),3,1)[/MATH]
[MATH=eng]sum((mat(1,0,0,0,1,0,0,0,1,3,3)*C),i,1,2)=mat(mat(0,0,2,3,1),0,0,0,mat(0,0,2,3,1),0,0,0,mat(0,0,2,3,1),3,3)[/MATH]

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#3 Опубликовано: 13.02.2011 15:16:04
rsunny

rsunny

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Hello Radovan,

thank you for your quick reply! It sounds very interesting, these block (nested) matrices.
How do I have to interpret the results?

[LIVE width=534 height=449]http://smath.info/live/?file=2286[/LIVE]
#4 Опубликовано: 13.02.2011 16:35:17
Radovan Omorjan

Radovan Omorjan

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Hello,

In my opinion, this should be interpreted as a bug - as you mentioned in the first place. Until Andrey gives the final answer, we should be aware of this behavior that you've find out.

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
#5 Опубликовано: 15.02.2011 04:22:31
Radovan Omorjan

Radovan Omorjan

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Hello,

Here is more about block matrices:
[MATH=eng]A←mat(1,0,0,0,1,0,0,0,1,3,3)[/MATH][MATH=eng]B←mat(0,0,1,3,1)[/MATH]
[MATH=eng]mat(A,A,A,A,2,2)*mat(B,B,2,1)=mat(mat(0,0,2,3,1),mat(0,0,2,3,1),2,1)[/MATH][MATH=eng]mat(A,A,A,A,2,2)*mat(0,1,2,1)=mat(mat(1,0,0,0,1,0,0,0,1,3,3),mat(1,0,0,0,1,0,0,0,1,3,3),2,1)[/MATH]
[MATH=eng]sum((mat(A,A,A,A,2,2)*mat(B,B,2,1)),i,1,2)=mat(mat(0,0,4,3,1),mat(0,0,4,3,1),2,1)[/MATH][MATH=eng]sum((mat(A,A,A,A,2,2)*mat(0,1,2,1)),i,1,2)=mat(mat(2,0,0,0,2,0,0,0,2,3,3),mat(2,0,0,0,2,0,0,0,2,3,3),2,1)[/MATH]
[MATH=eng]sum((A*mat(0,1,2,1)),i,1,2)=mat(0,mat(2,0,0,0,2,0,0,0,2,3,3),2,1)[/MATH]
but this, of course, is not allowed:
[MATH=eng]A*mat(0,1,2,1)=#[/MATH]

I think that Andrey did not finish all the issues regarding block matrices yet.

Regards,
Radovan
When Sisyphus climbed to the top of a hill, they said: "Wrong boulder!"
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