If a1 x+b1 y+c1 z=0, a2 x+b2 y+c2 z=0 a3 x+b3 y+c3 z=0 and |[ a1 b1 c1; a2 b2 c2; a3 b3 c3 ]|=0, then the given system has [Roorkee 1990]

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Cramer's Rule

If a1 x+b1 y+...

Question

One trivial and one non-trivial solution

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No solution

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One solution

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Infinite solution

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Solution

The correct option is D
Infinite solution

It is based on fundamental concept.

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Similar questions

If $D = 0$ and at least one of $D_{1}, D_{2}, D_{3}$ is not 0 then according to Cramer's rule the system of linear equations will have

D_{1}, D_{2}, D_{3}

λ_{1} : I f A X = P

c f \neq 0

B X = Q i s (0, 0, 0)

λ_{2} :

|\begin{matrix} a_{1} & b_{1} & c_{1} \\ a_{2} & b_{2} & c_{2} \\ a_{3} & b_{3} & c_{3} \end{matrix}|

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