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danielpanatha
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Homework Statement
We have a matrix Anxn (different than the identity matrix I) and a scalar λ=1. We want to check if λ is an eigenvalue of A.
Homework Equations
As we know, in order for λ to be an eigenvalue of A, there has to be a non-zero vector v, such that Av=λv
The Attempt at a Solution
Av=λv
Av=1v
Av=v
A=I
But we know that A is different than I, so λ is not an eigenvalue of A.
Is my attempt right?
Thanks in advance for your assistance.
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