A quadratic equation which goes through the origin has the form y = cx² + dx and it goes through the points (1, –77),(2,77) , (–1, – 77) First setup the system such that it takes the form Ax=b; convince yourself that this system is inconsistent. Then use the method of least squares to find the following. Find the value of c. Find the value of d.

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 4CEXP
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A quadratic equation which goes through the origin has the form y = cx? + dx
and it goes through the points (1, –77),(2,77) , (–1, –77)
First setup the system such that it takes the form Ax=b; convince yourself that this system is inconsistent. Then use the method of least squares to
find the following.
Find the value of c.
Find the value of d.
What is magnitude of the orthogonal projection of the error on the column space of A ?
Transcribed Image Text:A quadratic equation which goes through the origin has the form y = cx? + dx and it goes through the points (1, –77),(2,77) , (–1, –77) First setup the system such that it takes the form Ax=b; convince yourself that this system is inconsistent. Then use the method of least squares to find the following. Find the value of c. Find the value of d. What is magnitude of the orthogonal projection of the error on the column space of A ?
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