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The system of equations alphax+y+z=alpha...

The system of equations `alphax+y+z=alpha-1, x+alphay+z=alpha-1, x+y+alphaz=alpha-1` has no solution if alpha is

A

`-2`

B

either `-2` or 1

C

not `-2`

D

1

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The correct Answer is:
A
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Knowledge Check

  • The system of equations ax+y+z=alpha-1 x+alphay+z=alpha-1 x+y+alphaz=alpha-1 has no solution if alpha =

    A
    not -2
    B
    1
    C
    `-2`
    D
    either - 2 or 1

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    A
    1
    B
    not -2
    C
    either -2 or 1
    D
    -2

  • The system of equations alpha(x-1)+y+z=-1, x+alpha(y-1)+z=-1 and x+y+alpha(z-1)=-1 has no solution, if alpha is equal to

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    `-2 or 1`
    B
    `-2`
    C
    1
    D
    `-1`

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