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If 2a x-2y+3z=0,x+a y+2z=0,a n d2+a z=0 ...

If `2a x-2y+3z=0,x+a y+2z=0,a n d2+a z=0` have a nontrivial solution, find the value of `adot`

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The correct Answer is:
1
For non trivial solution
`Delta=0`
`|(2a, -2, 3),(1, a, 2),( 2, 0, a)|=0impliesa^(3)-2a-4=0`
`implies(a-2)(a^(2)+2a+2)=0impliesa=2`
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