(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

2. Relevant equations

None

3. The attempt at a solution

Well I am pretty sure you just put it into a matrix and solve in row echelon form. So I tried it.

1 -1 -1 0

2 1 7 0

1 2 9 0

r2 = r2 - 2r1

r3 = r3 - r1

1 -1 -1 0

0 3 9 0

0 3 10 0

r3 = r3 - r2

1 -1 -1 0

0 3 9 0

0 0 1 0

r2 = r2 - 9r3

1 -1 -1 0

0 3 0 0

0 0 1 0

r2 = r2/3

r1 = r1 + r3

1 -1 0 0

0 1 0 0

0 0 1 0

r1 = r1 + r2

1 0 0 0

0 1 0 0

0 0 1 0

But that means a = 0, b = 0, and c = 0?

Edit: Oh, it asks if they are linearly independent, I am pretty sure they are not because it cannot equal zero, is there a easier way to figure this out or should I have noticed that because the answer was 0 from the beginning. But I am pretty sure you still have to show work. /edit

I do not have an answer for this equation solved so that is why I need to check. I don't even know if I am doing this correct at all, so if I am not, please advice me because I have a quiz tomorrow. Thanks in advance.

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# Homework Help: Solving Matrix Vector Equation

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