1. The problem statement, all variables and given/known data Describe the possible echelon forms of the standard matrix for the linear transformation T. T: |R3 --> |R4 is one to one. 3. The attempt at a solution T(x)=Ax. Right? So A must be the standard matrix. I got this: A = | £ * * | | 0 £ * | | 0 0 £ | | ? ? ? | Where £ represents a pivot position, and * any random number. The only problem is that I have no idea what to put in the lowest row.. Can you guys help?