Questions
If the system of equations has non-trivial solution , then =……..
detailed solution
Correct option is A
Given system of equations , 1−λx+2y+3z=0,3x+1−λ+2z=0, 2x+3y+1−λz=0 Has nontrivial solution ⇒1−λ2331−λ2231−λ=0R1+R2+R3⇒6−λ6−λ6−λ31−λ2231−λ(6−λ)11131−λ2231−λC2−C1C3−C1⇒(6−λ)1003−λ−2−121−λ−1=0⇒(6−λ)[(λ+1)(λ+2)+1]=0⇒λ=6,λ2+3λ+3=0Similar Questions
The number of solutions of
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