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Publish On: 2019-04-16

Andy More

Total Post: 752

Question: What is eigen vector

Reply On: 2013-10-03

Mjay Jollay

Total Post: 0

ANS: What is eigen vector

If λ = λ1 be any characteristic root of the n-rowed square matrix A = [aij] and if for this value of λ, the characteristic equation | A – λI | = 0, is satisfied and as such the equation [A – λ1I] X = 0 has non-trivial solution for X. Every such non-trivial solution X is called a characteristic vector of A. As the system of equations given by [A – λ1I] X = 0 is homogeneous, it is obvious of X is a characteristic vector of A, then for k ≠ 0, kX is also a characteristic vector of A corresponding to the some characteristic root λ = λ1.

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