Which of the following is/are true about the least square method? ]Interchanging rows never changes the solution of the least square method. ]We need least square method to find an approximate solution of an inconsistent system. The least squares solution makes the error as small as possible. OWe should apply the least squares method to the system Ax=b, where b lies in the column space of A. Submit You have used 0 of 1 attempt Save

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 2CEXP
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When the error vector e = b – Aĉis non zero, in which of the following subspaces does e reside in?
The left nullspace N (A").
The null space N (A).
The column space of A.
The row space of A.
Transcribed Image Text:When the error vector e = b – Aĉis non zero, in which of the following subspaces does e reside in? The left nullspace N (A"). The null space N (A). The column space of A. The row space of A.
Which of the following is/are true about the least square method?
]Interchanging rows never changes the solution of the least square method.
]We need least square method to find an approximate solution of an inconsistent system.
]The least squares solution makes the error as small as possible.
OWe should apply the least squares method to the system Ax=b, where b lies in the column space of A.
Submit You have used 0 of 1 attempt
Save
Transcribed Image Text:Which of the following is/are true about the least square method? ]Interchanging rows never changes the solution of the least square method. ]We need least square method to find an approximate solution of an inconsistent system. ]The least squares solution makes the error as small as possible. OWe should apply the least squares method to the system Ax=b, where b lies in the column space of A. Submit You have used 0 of 1 attempt Save
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