Suppose AERˇn (m ≥ n) has full rank. Show that the reduced QR factorization A = QR (with the diagonal entries of R to be strictly posi- tive) is unique.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.1: Polynomial Functions Of Degree Greater Than
Problem 31E
Question
Suppose AERˇn (m ≥ n) has full rank. Show that the reduced
QR factorization A = QR (with the diagonal entries of R to be strictly posi-
tive) is unique.
Transcribed Image Text:Suppose AERˇn (m ≥ n) has full rank. Show that the reduced QR factorization A = QR (with the diagonal entries of R to be strictly posi- tive) is unique.
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