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Topic: System of matricial equations
Replies: 1   Last Post: Sep 27, 2010 9:34 AM

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Posts: 1
Registered: 9/2/10
System of matricial equations
Posted: Sep 2, 2010 12:18 PM
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I'm not sure my question makes any sense at all, but after a long time without success I need some help.

I'm trying to solve a system like this:

A.x + B.y = v1,
Transpose(B).x + C.y = v2,

where A,B and C are matrices, v1 and v2 are known vectors and x, y are my unknown vectors.

I tried to manipulate the system by multiplying by the inverse matrices to get two independent equations of the form:

A'.x = v1'
B'.y = v2'

but it turns out that A' and B' are singular, which is quite unexpected since I can see no reason why my problem shouldn't have a (unique) solution. Maybe the reason is that my problem is badly conditioned... I don't know.

My question is: Is there a general way to solve my original system?


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