For real number α, if the system [\table1,\alpha,\alpha^2;\alpha,1,\alpha;\alpha^2,\alpha,1] [\table x;y;z]=[\table1;-1;1] of linear equations, has infinitely many solutions, then 1+\alpha+\alpha^2 [JEE Adv 2017 P1]

Matrices and Determinants

Section: Mathematics

Question : 27 of 56

Marks: +1, -0

For real number α, if the system [

][

]=[

−1

] of linear equations, has infinitely many solutions, then 1+α+α2

[JEE Adv 2017 P1]

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