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

I am asked to find all the values of "b" for which the following system has a nontrivial (i.e non-zero solution).

2. Relevant equations

bx1 - bx3 = 0

x1 + (b+1)x2 + 2x3 = 0

bx1 + (2b+2) x2 = 0

3. The attempt at a solution

I know that I am needing to solve for the equations so that I dont' end up with a row of all zeroes.

But I am just confused as to where to start. Because I have a bunch of different variables, and I dont know if I should assign parameters to begin with or not?

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# Homework Help: LINEAR ALGEBRA: nontrivial solutions

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