Linear Algebra and Its Applications · Problem 3.3.26

Orthogonality — Gilbert Strang

Mathematics · least-squares-hookes-law

Problem

A Middle-Aged man was stretched on a rack to lengths

L = 5

6

, and

7

feet under applied forces of

F = 1

2

, and

4

tons. Assuming Hooke's law

L = a + bF

, find his normal length

a

by least squares.