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Undergrad Question about an eigenvalue problem: range space
A theorem from Axler's Linear Algebra Done Right says that if 𝑇 is a linear operator on a complex finite dimensional vector space 𝑉, then there exists a basis 𝐵 for 𝑉 such that the matrix of 𝑇 with respect to the basis 𝐵 is upper triangular. In the proof, he defines U=range(T-𝜆I) (as we have...- bluesky314
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- Eigenvalue Eigenvalue problem Linear algebra Range Space
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- Forum: Linear and Abstract Algebra