11 (Important) A is an m by n matrix of rank r. Suppose there are right sides b for which Ax = b has no solution. (a) What are all inequalities (< or ≤) that must be true between m, n, and r? (b) How do you know that AT y = 0 has solutions other than y = 0?
11 (Important) A is an m by n matrix of rank r. Suppose there are right sides b for which Ax = b has no solution. (a) What are all inequalities (< or ≤) that must be true between m, n, and r? (b) How do you know that AT y = 0 has solutions other than y = 0?
Elementary Linear Algebra (MindTap Course List)
8th Edition
ISBN:9781305658004
Author:Ron Larson
Publisher:Ron Larson
Chapter7: Eigenvalues And Eigenvectors
Section7.CM: Cumulative Review
Problem 29CM
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