Linear algebra question solving for a b c

[sozener1]

for this question i got up to obtaining [1 0 1 a-c; 0 1 1 c; 0 0 0 b-a+c] matrix

im supposed to find a b and c so that the linear system has an infinitely many solutions

I just can't work this out!

 

[Mark44]

for this question i got up to obtaining [1 0 1 a-c; 0 1 1 c; 0 0 0 b-a+c] matrix

im supposed to find a b and c so that the linear system has an infinitely many solutions

I just can't work this out!

I got different results for the first two rows. What operations did you do to get your values?

My answer is the same as yours in the third row. What does that row represent as an equation?

 

[RUber]

It looks like you are trying to find a relationship between a, b, and c. Just checking a=b=c=0 shows one of many sets of values which provide infinite solutions.