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Eigenvalues

Can anyone tell me how to determine the value of a :
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Avatar for zulhaq345
zulhaq345
OP
8
Question.PNG
How do i determine the value of a given that lanbda^1=0.
Equation for eigenvalue is det(A−λI) = 0.
Don1t understand how to do it
Original post by zulhaq345

How do i determine the value of a given that lanbda^1=0.
Equation for eigenvalue is det(A−λI) = 0.
Don1t understand how to do it


Well, construct your characteristic polynomial and use the fact that λ=0\lambda = 0 is a root. Nothing more, nothing less.
Reply 3
Avatar for zulhaq345
zulhaq345
OP
8
How like would you mind expanding on it? so like i get polynomial and set to 0 then what should i do
Original post by zulhaq345
How like would you mind expanding on it? so like i get polynomial and set to 0 then what should i do


Substitute in λ=0\lambda = 0 ?? You are literally told it is a root, hence justifying this procedure.
Reply 5
Avatar for simon0
simon0
13
Zulhaq345, what is your characteristic polynomial?

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