SOLUTION: The augmented matrices for three separate systems of linear equations in the variables x, y, z, and w, respectively, have been reduced to the row echelon forms given below. Find

Question 35190: The augmented matrices for three separate systems of linear equations in the variables
x, y, z, and w, respectively, have been reduced to the row echelon forms given below.
Find the solutions to each of the systems.
A =
1 0 1 −1 : 3
0 1 3 1 : −1
0 0 1 1 : 2
0 0 0 0 : 1
,
B =
1 0 0 1 : 3
0 1 0 −2 : 1
0 0 1 3 : −3
0 0 0 0 : 0
,
C =
1 1 2 −2 : 0
0 1 −3 1 : 4
0 0 0 1 : 3
So with respect to A and row four where 0=1 does that mean that this system can not be solved or can it? What is the rule here?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!

So with respect to A and row four where 0=1 does that mean that this system can not be solved or can it? What is the rule here?
True; A does not have a solution since 0 cannot = 1
Cheers,
Stan H.
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