$$ S = (1,0,0), (0,1,0), (0,0,1)\\ T = (1,1,-1), (1,1,1), (1,0,1)\\ f(x,y,x) = (x+y-z , x+2y+z , z) $$
Could someone help me find the change in basis s[1]t and s[f]s
For the first one i tried putting them as a matrix next to each other but then didn't know where to go from there. I also tried putting alpha in front of each set of brackets but couldn't see how that was gaining me anything.
any help would be much appreciated thank you!!
edit: i have worked out that s[f]s is (1,1,0) (1,2,0) (-1,1,1)