multiplication of multiple matrices

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Melissa
Melissa 2013-8-16
Good Afternoon,
I know this is probably a silly question to ask but if I have matrices A, B, C and D. With the equation
D=A*(-B*C)
and I want to solve for C. Is there any possible way to do this?
I have thought of this. D=(A*-B)
C=D/E
Thanks,
Mel

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Walter Roberson
Walter Roberson 2013-8-16
Matrix multiplication is associative so A*(-B*C) is the same as -(A*B)*C . So you can use the \ matrix division operator between D and -(A*B)
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Melissa
Melissa 2013-8-19
Walter,
Thanks again for all of your help. Another question if you can spare a second. I have tried to look into linear algebra books but how about the same type of problem only:
D=Ax(B*C) Solve for C
Walter Roberson
Walter Roberson 2013-8-20
Is x a vector? If so then there is usually no unique solution.
Are we given any information restricting any of the arrays to be square ?

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