# The set of all values of for which the system of linear equations :has a non-trivial solution, Option 1) is an empty set. Option 2) is a singleton. Option 3) contains two elements. Option 4) contains more than two elements.

As we learnt in

Cramer's rule for solving system of linear equations -

When   and  ,

then  the system of equations has infinite solutions.

- wherein

and

are obtained by replacing column 1,2,3 of  by   column

Option 1)

is an empty set.

This option is incorrect.

Option 2)

is a singleton.

This option is incorrect.

Option 3)

contains two elements.

This option is correct.

Option 4)

contains more than two elements.

This option is incorrect.

N

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