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Consider the following system of equatio...

Consider the following system of equations in matrix form
`({:(1),(2),(lambda):}) (1,2,lambda) ({:(x),(y),(z):})=0`
Then which one of the following statements is true ?

A

`AA lambda in (-oo,oo)`, the given system has non trivial solution

B

`AA lambda in (-oo,oo)`, the given system has only trivial solution

C

For `lambda ne 0` the given system does not have any solution

D

For `lambda =0` the given system is inconsistent

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The correct Answer is:
A
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