EC > GATE 2020 > Linear Algebra
Consider the following system of linear equations.
x₁+2x₂=b₁;
2x₁+4x₂=b₂;
3x₁+7x₂=b₃;
3x₁+9x₂=b₄;
Which one of the following conditions ensures that a solution exists for the above system?
A
b₂=2b₁ and 6b₁-3b₃+b₄=0
B
b₃=2b₁ and 6b₁-3b₃+b₄=0
C
b₂=2b₁ and 3b₁-6b₃+b₄=0
D
b₃=2b₁ and 3b₁-6b₃+b₄=0

Correct : a

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