multiplication of multiple matrices

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

Answer 1

[Walter Roberson]

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)

[Melissa]

since matrices were of different sizes I had to use / but it worked. Thanks.

[Melissa]

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]

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 ?