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

Find all values of k such that the following homogenous system has non-trivial solutinos:

kx + 2y + 2z = 0

x + 2y + 2z = 0

4x + (k-1)y +2z = 0

2. Relevant equations

3. The attempt at a solution

I put it in to matrix form ( k 2 2 0

1 2 2 0

4 (k-1) 2 0 )

Then i subtracted row 2 from row 1 to get

k 2 2 0

(1-k) 0 0 0

4 (k-1) 2 0

Then i said if k=1 then there are infinite many solutions.

I don't know where to go from that.

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# Homework Help: Matrice problem Please help

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