The equation x + 2y + 5z = 0 has a trivial solution

True

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False

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Solution

The correct option is A
True

For the given equation the trivial solution will be (0, 0, 0). This satisfies the given equation 0 = 0 therefore the statement is correct.

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Similar questions

The equation x + 2y + 5z = 0 has a trivial solution

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x - 2 y + z = 0

λ x - y + 2 z = 0

2 a x - 2 y + 3 z = 0, x + a y + 2 z = 0 and 2 x + a z = 0

a

S

⎡ ⎢ ⎣ \begin{matrix} b_{1} b_{2} b_{3} \end{matrix} ⎤ ⎥ ⎦

b_{1}, b_{2}, b_{3} \in R

\begin{matrix} - x + 2 y + 5 z = b_{1} 2 x - 4 y + 3 z = b_{2} x - 2 y + 2 z = b_{3} \end{matrix}

⎡ ⎢ ⎣ \begin{matrix} b_{1} b_{2} b_{3} \end{matrix} ⎤ ⎥ ⎦ \in S

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