Question

Asked Dec 29, 2019

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prove it. Let T be a linear operator on a vector space V, and let λ be an eigenvalue of T. A vector v ∈ V is an eigenvector of T corresponding to λ if and only if v≠0 and v ∈ N(T −λI).

Step 1

Let, T be a linear operator on a vector space V, and lambda be an eigenvalue of T.

Step 2

Step 3

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