4. Let A = (3 2 2 2 3-2 (a) Using any method, determine A¹. (b) Using A¹, find the least squares solution of the least norm, of the system Az = b, given b = (1,−1)². (c) Find all the solutions of Az = b.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter7: Distance And Approximation
Section7.4: The Singular Value Decomposition
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matrix analysis practice question,Please write the simplest answer process,thanks.
4. Let
= (²
2
A =
2
_-²).
3-2
(a) Using any method, determine At.
(b) Using A¹, find the least squares solution of the least norm, of the system
Az = b, given b = (1,−1)².
(c) Find all the solutions of Az = b.
Transcribed Image Text:4. Let = (² 2 A = 2 _-²). 3-2 (a) Using any method, determine At. (b) Using A¹, find the least squares solution of the least norm, of the system Az = b, given b = (1,−1)². (c) Find all the solutions of Az = b.
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