How do I transform one matrix by another?

I am trying to write a program where I apply a linear transformation represented by one matrix to each value in a different matrix. I have no idea how to go about doing this. Thank you!

[KSSV]

Why don't you give an example or elaborate your question.

Answer 1

[Alon Rozen]

Hi, As KSSV wrote, you need to elaborate your question a bit. But if I am guessing right, you have a matrix A, represented in some coordinate system, and you want to transform it to a different coordinate system. You also have the transformation matrix T. If so, the way to transform is:

B = T*A*T'

Where T' is the transpose of T (actually it is the inverse matrix but with linear transformation it is the same) and B contains the transformed values of A. This is the case ONLY if I understood right your problem!

[Hugh Collett]

Hi Alon, I know this is a very old question but could you explain why it is not just B = T*A please? Thanks