LINEAR ALGEBRA: nontrivial solutions

  • Thread starter alexis36
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  • #1
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Homework Statement


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


Homework Equations


bx1 - bx3 = 0
x1 + (b+1)x2 + 2x3 = 0
bx1 + (2b+2) x2 = 0


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?
 

Answers and Replies

  • #2
Dr Transport
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write as a matrix with x1, x2, and x3 factored out then find the determinant of the result.
 
  • #3
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thank you!
 
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