Recent content by x.x586

Thank you.

Homework Statement Let T be a linear transformation from R3 to R3. Suppose T transforms (1,1,0) ,(1,0,1) and (0,1,1) to (1,1,1) (0,1,3) and (3,4,0) respectively. Find the standard matrix of T and determine whether T is one to one and if T is onto Homework Equations The Attempt...

Homework Statement Let T be a linear transformation from R3 to R3. Suppose T transforms (1,1,0) ,(1,0,1) and (0,1,1) to (1,1,1) (0,1,3) and (3,4,0) respectively. Find the standard matrix of T and determine whether T is one to one and if T is onto Homework Equations The Attempt...

I know T(x) =Ax=[T(e1) ,T(e2,) T(e3)] I thought A would just be the matrix with columns (1,1,1) (0,1,3) and (3,4,0), but then I realized that (1,1,0) ,(1,0,1) and (0,1,1) are not the standard basis vectors for R3My book doesn't give any examples where we don't start with the standard basis...

Homework Statement Let T be a linear transformation from R3 to R3. Suppose T transforms (1,1,0) ,(1,0,1) and (0,1,1) to (1,1,1) (0,1,3) and (3,4,0) respectively. Find the standard matrix of T and determine whether T is one to one and if T is onto