forumbasta

Thank you DrRocket,

I meant by "reference frame" coordinate system.

Your reply is nearly what I am looking for.

My accurate request is:

The vectors u and v are defined in two different coordinate systems.

"The matrix B have to be the product of two matrices, one of them is a transformation matrix from one of the coordinate system to the other". As you specified B = A.T

I am very grateful if you could support the statement between quotations by some references.

Thank you again, have a nice weekend

Hi everyone,

Given two different reference frames in a vector space; say left and right. v is a vector defined in the left frame and u is a vector defined in the right frame.

What is the nature of a matrix A that can satisfy the equality u= A.v?

Thank you