If I am giving a matrix A representing the linear transformation L(x) = Ax, then A is the matrix-representation of L with respect to the basis elements in the vector-space S (standard).
If I am now given another vectorspace V by the matrix V, and I want to find the matrix B representing L with respect to the bases S and V, I use:
B = V^(-1) * S.
The Attempt at a Solution
Is what I wrote correct?
Thanks in advance.