- Sep 10, 2004
- 10,507
- 0
- 0
If matrix B = [3 1, 4 0, 0 2] (<-- row 1, row2, row 3), find matrix A such that Nul A = Col B.
So, right off the bat.
- A has two free variables (if A is in Rm, would A be in R2?)
- B has two pivots, which the vectors are (3,4,0) and (1,0,2)
The first may be partially wrong wrong, because NulA would have to reduce to ColB, which means that it would have to be in R3 instead of R2. Thus, A must be at least a 3X3 matrix.
As for the rest, I'm lost as to how to go about it... (giving me the answer wouldn't be of help, so probably logicial reasoning would be helpful).
Thanks for helping (I'm still trying to figure it out as we speak.).