DeterminantHard
Question
Given A = 
, I = 
. If A - λ I is a singular matrix then
, I = . If A - λ I is a singular matrix thenOptions
A.λ = φ
B.λ2 - 3λ - 4 = 0
C.λ2 + 3λ + 4 = 0
D.λ2 - 3λ - 6 = 0
Solution
|A - λI| = 0
⇒
= 0
⇒
= 0
⇒ 2 - 2λ - λ + λ2 - 6
⇒ λ2 - 3λ - 4 = 0
⇒
= 0⇒
= 0⇒ 2 - 2λ - λ + λ2 - 6
⇒ λ2 - 3λ - 4 = 0
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