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.
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.
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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matrix analysis practice question,Please write the simplest answer process,thanks.
![### Problem 4
Let
\[ A = \begin{pmatrix} 3 & 2 & 2 \\ 2 & 3 & -2 \end{pmatrix} \]
1. **(a)** Using any method, determine \( A^{\dagger} \).
2. **(b)** Using \( A^{\dagger} \), find the least squares solution of the least norm of the system \( Ax = b \), given \( b = (1, -1)^T \).
3. **(c)** Find all the solutions of \( Ax = b \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F979d0aba-5428-414f-a3ba-5510f0301082%2Ffe00904a-5dce-413d-81ca-447b53fe005b%2Fy3m34wn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Problem 4
Let
\[ A = \begin{pmatrix} 3 & 2 & 2 \\ 2 & 3 & -2 \end{pmatrix} \]
1. **(a)** Using any method, determine \( A^{\dagger} \).
2. **(b)** Using \( A^{\dagger} \), find the least squares solution of the least norm of the system \( Ax = b \), given \( b = (1, -1)^T \).
3. **(c)** Find all the solutions of \( Ax = b \).
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