You started with a non-singular matrix. How did it turn singular on you?
Better try that reduction again.
Are you sure you reported the problem correctly?
Determine a relationship between the constantsa and b if the system below is to have infinitely many solutions.
x+ 2y + z = 1 + b
−x − 2y + z = a + 2b − 1
2x + 4y + 3z = 2b + 2
Okay so this is what I have so far:
[ 1 2 1 | 1+b ]
[-1 -2 1 | a+2b-1]
[ 2 4 3 | 2b +2 ]
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After ysing the G-J method, I get all the way to
[1 0 3/2 | 1/2a + b]
[0 0 2 | a + 3b ]
[0 0 0 | -2 ]
SO its in row-reduced form now...I think. Feeling a bit stuck at this point.