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For each matrix A and vector b given below, we will consider the system Ax = b. Find three distinct solutions to the least squares problem. Note: If it is only possible to find one solution, then place 0's in all values of the last two vectors. If there is no solution then place 0's in all vectors. 1 1) Let A = 0 0 LO -1.5 -1.5 0.5 0.5 2 -5.5] -5.5 2.5,b= 2.5 10 -3 -24 -24 7 6 then three distinct solutions to the least squares problem would be: -3 10 0.5 0.5 -3 2 2) Let A = 0.5 -2 -17 ,b=2 then three distinct solutions to the least squares problem would be: 0.5 -2 -17 1 0 0 1

For each matrix A and vector b given below, we will consider the system Ax = b. Find three distinct solutions to the least squares problem. Note: If it is only possible to find one solution, then place 0's in all values of the last two vectors. If there is no solution then place 0's in all vectors. 1 1) Let A = 0 0 LO -1.5 -1.5 0.5 0.5 2 -5.5] -5.5 2.5,b= 2.5 10 -3 -24 -24 7 6 then three distinct solutions to the least squares problem would be: -3 10 0.5 0.5 -3 2 2) Let A = 0.5 -2 -17 ,b=2 then three distinct solutions to the least squares problem would be: 0.5 -2 -17 1 0 0 1

Advanced Engineering Mathematics
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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For each matrix A and vector b given below, we will consider the system Ax = b. Find three distinct solutions to the least squares problem. Note: If it is only possible to find one solution, then place 0's in all values of the last two vectors. If there is no solution then place 0's in all vectors. 1 1) Let A = 0 0 0 -1.5 -5.5 -1.5 -5.5 0.5 2.5 , b = 0.5 2.5 2 10 0.5 -3 -24 0.5 -3 -24 2) Let A = 0.5 -2 0.5 -2 0 0 -10 7 6 -3 10 -17 then three distinct solutions to the least squares problem would be: -17,b=2 then three distinct solutions to the least squares problem would be:
Transcribed Image Text:For each matrix A and vector b given below, we will consider the system Ax = b. Find three distinct solutions to the least squares problem. Note: If it is only possible to find one solution, then place 0's in all values of the last two vectors. If there is no solution then place 0's in all vectors. 1 1) Let A = 0 0 0 -1.5 -5.5 -1.5 -5.5 0.5 2.5 , b = 0.5 2.5 2 10 0.5 -3 -24 0.5 -3 -24 2) Let A = 0.5 -2 0.5 -2 0 0 -10 7 6 -3 10 -17 then three distinct solutions to the least squares problem would be: -17,b=2 then three distinct solutions to the least squares problem would be:
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