Let A be an m × n matrix. Prove that if the reduced echelon form of A possesses precisely one pivot, then there exist non-zero vectors v E R™ and w e R" such that A = vw".
Let A be an m × n matrix. Prove that if the reduced echelon form of A possesses precisely one pivot, then there exist non-zero vectors v E R™ and w e R" such that A = vw".
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:(c) Let A be an m × n matrix. Prove that if the reduced echelon form of A possesses precisely one pivot, then there exist non-zero
vectors v E R" and w E R" such that A
= vwT.
ona
ver
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