Mechanical Engineering > GATE 2022 SET-1 > Linear Algebra
The system of linear equations in real (x, y) given by
involves a real parameter 𝛼 and has infinitely many non-trivial solutions for special value(s) of 𝛼. Which one or more among the following options is/are non-trivial solution(s) of (π‘₯,𝑦) for such special value(s) of 𝛼?
A
x = 2, y = -2
B
x = -1, y = 4
C
x = 1, y = 1
D
x = 4, y = -2

Correct : a, b

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