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Official PYQ · 2020

GATE EC 2020 Set 1 Q26 — Linear Algebra

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Consider the following system of linear equations.

x1+2x2=b1;2x1+4x2=b2;3x1+7x2=b3;3x1+9x2=b4\begin{array}{llll} x_{1}+2x_{2}=b_{1} ; & 2x_{1}+4x_{2}=b_{2}; & 3x_{1}+7x_{2}=b_{3} ; & 3x_{1}+9x_{2}=b_{4} \end{array}

Which one of the following conditions ensures that a solution exists for the above system?

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Answer: A

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