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Basis for the Range Assignment | Assignment Help Services

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Consider the matrix A = uvT , where u, v ∈ Rm×1. (a) What is the rank of A? Find a basis for the range of A. (b) List all eigenvalue of A. What are their geometric and algebraic multiplicities? (c) Find the eigenvector for the nonzero eigenvalue of A. (d) Find an orthogonal projector onto the range of A.

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