Show that the system of equations Bx=b is consistent for all bεℝ³
B=[1 2 0 1;1 0 1 -1;0 -1 3 -4]
Please note that ; means row; This is a 3 by3 matrix
Often in answers I find that they say let ( x y z ) be an element of R^3 and then they put it in the matrix(on the Rhs as a solution) and do reduced row echelon...Is that necessary here? why is that necessary in other cases?
(its possible that I dont need to do RREs but lets say i did ..is this method correct?)
Anyway heres what I have done.
I would appreciate feedback.THanks.
Please see attachments.