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Q.

 The value of |α| for which the system of equation 
αx+y+z=α1x+αy+z=α1x+y+αz=α1has no solution, is _____________

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answer is 2.

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Detailed Solution

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System of equations
αx+y+z=α1x+αy+z=α1x+y+αz=α1
Since system has no solution.
 Therefore, (1) Δ=0 and (2) α10
α111α111α=0,α1R1R1R3,R2R2R3α101α0α11α11α=0α=1,1,2 or α=1,2

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