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If the system of equations $x = k y + z, y = k x - z$ and $z = x + y$ has a non-zero solution, then the possible values of ‘ $k$ ’ are

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Correct option is D

The system has non-zero solution⇒1-k-1k-1-111-1=0⇒1(1+1)+k(-k+1)-1(k+1)=0⇒-k2+1=0⇒k2=1⇒k=-1,1

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If the system of equations x=ky+z,y=kx−zandz=x+yhas a non-zero solution, then the possible values of ‘k’ are

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Ready to Test Your Skills?

free study material

If the system of equations $x = k y + z, y = k x - z$ and $z = x + y$ has a non-zero solution, then the possible values of ‘ $k$ ’ are