The system of equations \alpha x+y+z=\alpha-1 x+\alpha y+z=\alpha-1 x+y+\alpha z=\alpha-1 has infinite solutions, if \alpha is [AIEEE 2005]

AIEEE 2005 Math Solved Paper

Section: Mathematics

Question : 34 of 71

Marks: +1, -0

The system of equations
αx+y+z=α−1
x+αy+z=α−1
x+y+αz=α−1
has infinite solutions, if α is

[AIEEE 2005]

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