Thank you for your response. After more thinking I was able to find that the matrix must be linearly independent (pivot in every column) and that when it is row reduced, the matrix would be:
[ 1 0 0 ]
[ 0 1 0 ]
[ 0 0 1 ]
[ 0 0 0 ]
Standard Matrix for R^3 -> R^4 where if domain is Linearly Independent so is codomain
Homework Statement
5. Suppose T : R^3 -> R^4 is a linear transformation with the following property:
For any linearly independent vectors v_1, v_2 and v_3 in R^3, the images T(v_1),
T(v_2) and T(v_3) are...