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Topic: A=B*C how to get B?
Replies: 3   Last Post: Jul 13, 2006 4:02 PM

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Toni Lassila

Posts: 536
Registered: 12/13/04
Re: A=B*C how to get B?
Posted: Jul 13, 2006 11:32 AM
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On 13 Jul 2006 08:15:09 -0700, meris300@gmail.com wrote:

>I have a system of equations that can be written in matrix vector
>notation as follows:
>
>A(1*n)=B(1*m)*C(m*n)
>
>In a book i saw that B = A* C' * (C*C')^(-1)


C'(CC')^(-1) is called the pseudoinverse of C.

>However, i do not recall how to get to that solution. can anybody help
>me with this?


AC' = BCC' => B = AC'(CC')^-1 provided that the inverse exists. It
does when C has rank n.



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