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mjthiry
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1. Homework Statement
Suppose that A is a square matrix and the sum of the entries of each row is some number k. Is k an eigenvalue of A? if so, what is the corresponding Eigenvector?2. Homework Equations
Ax-λx=0
3. The Attempt at a Solution
(1-k)(K-λ)-k=0I am not sure how to solve this in a proof sense ( since we are not using specific numbers)
Suppose that A is a square matrix and the sum of the entries of each row is some number k. Is k an eigenvalue of A? if so, what is the corresponding Eigenvector?2. Homework Equations
Ax-λx=0
3. The Attempt at a Solution
(1-k)(K-λ)-k=0I am not sure how to solve this in a proof sense ( since we are not using specific numbers)
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