1. The problem statement, all variables and given/known data You have a unknown Transformation machine T. that transforms from R^4 --> R^3 Vectors U and V are known and the output from T is also known. Can You calculate the values of T? 2. Relevant equations What values/information is needed to calcuate T ? 3. The attempt at a solution I can solve any Vector that is a linear combination of vectors U and/or V but the book doesn't say how to solve what T is and the problem doesn't need it either only to see if you can solve given vectors using linear comb of U and/or V but im still curious. Maybe it cannot be solved or if it can its higher mathematics.