i mean why even give the free variables values and not just let them be and solve the equations, for the transpose you would just get x1=-x3 x2=-x3 and x3 as free variable, i guess im missing the point with the identity and swapping the -F but i dont really get why you want to do that instead ...####[[' free variables values a', 'Mathematical_Related_Concept', 'NEU'], ['solve the equatio', 'Mathematical_Related_Concept', 'NEU'], [' x1=-x3 x2=-x3', 'Mathematical_Related_Concept', 'NEU']]