Set, Relation and FunctionHard
Question
The set of all values of λ for which the system of linear equations :
2x1 - 2x2 + x3 = λx1
2x1 - 3x2 + 2x3 = λx2
-x1 + 2x2 = λx3
has a non-trivial solution
2x1 - 2x2 + x3 = λx1
2x1 - 3x2 + 2x3 = λx2
-x1 + 2x2 = λx3
has a non-trivial solution
Options
A.contains two elements
B.contains more than two elements
C.is an empty set
D.is a singleton
Solution
For nontrivial solution ᐃ = 0
⇒
= 0 ⇒ λ = 1, − 3
⇒
= 0 ⇒ λ = 1, − 3Create a free account to view solution
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