(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)
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Chapter7: Eigenvalues And Eigenvectors
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(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?
Transcribed Image Text:(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?
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