3. Let A be an m x n matrix and be Rm. Given that Ax = b has two distinct solutions u and v. Explain why Ar= b has infinitely many solutions.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter3: Matrices
Section3.5: Subspaces, Basis, Dimension, And Rank
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3. Let A be an m x n matrix and b E Rm. Given that Ax = b has two distinct solutions u and v.
Explain why Ax=b has infinitely many solutions.
Transcribed Image Text:3. Let A be an m x n matrix and b E Rm. Given that Ax = b has two distinct solutions u and v. Explain why Ax=b has infinitely many solutions.
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