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HKP
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Homework Statement
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
Homework Equations
The Attempt at a Solution
I put it into 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.