jee-main 2017 Q62

jee-main · India · 09apr Matrices Linear System and Inverse Existence
The set of all values of $\lambda$ for which the system of linear equations $$x - 2 y - 2 z = \lambda x$$ $$x + 2 y + z = \lambda y$$ $$- x - y = \lambda z$$ has a non-trivial solution:
(1) is an empty set
(2) is a singleton
(3) contains two elements
(4) contains more than two elements 
The set of all values of $\lambda$ for which the system of linear equations
$$x - 2 y - 2 z = \lambda x$$
$$x + 2 y + z = \lambda y$$
$$- x - y = \lambda z$$
has a non-trivial solution:\\
(1) is an empty set\\
(2) is a singleton\\
(3) contains two elements\\
(4) contains more than two elements
Paper Questions
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