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QUESTION
Consider the matrix A = uvT , where u, v Rm1. (a) What is the rank of A? Find a basis for the range of A. (b) List all eigenvalue of A. What are
- 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.
