In: Advanced Math
Find (a) the rank of the matrix below, (b) a basis for its row space, and (c) a basis for the solution space of Ax=0. [To save you time, I include the RREF of A.]
A = {(1,2,-3), (2, -1, 4), (4, 3, -2)}; each triple is a row of A, from left to right (top to bottom).
The RREF of A is {(1,0,1), (0,1,-2), (0,0,0)} (left to right, top to bottom, as above).