Find the equation satisfied by the squares of the singular values of the matrix associated with the following over-determined set of equations: 2x + 3y + z = 0 x-y-z = 1 2x+y = 0 2y + z = −2. Show that one of the singular values is close to zero. Determine the two larger singular values by an appropriate iteration process and the smallest one by indirect calculation.
Find the equation satisfied by the squares of the singular values of the matrix associated with the following over-determined set of equations: 2x + 3y + z = 0 x-y-z = 1 2x+y = 0 2y + z = −2. Show that one of the singular values is close to zero. Determine the two larger singular values by an appropriate iteration process and the smallest one by indirect calculation.
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 16EQ
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