MATH 304 Linear Algebra
solutions of the equation L(x) = λx. Then Vλ is a subspace of V since Vλ is the kernel of a linear operator given by x → L(x)−λx. Vλ minus the zero vector is the set of all eigenvectors of L associated with the eigenvalue λ. In particular, λ ∈ R is an eigenvalue of L if and only if Vλ 6= {0}. If Vλ 6= {0} then it is called the ...
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