Linear Algebra and Its Applications · Problem 3.3.33

Orthogonality — Gilbert Strang

Mathematics · least-squares-projection-points

Problem

(Line

C + Dt

does go through

p

's) With

b = 0, 8, 8, 20

at times

t = 0, 1, 3, 4

, write the four equations

Ax = b

(unsolvable). Change the measurements to

p = 1, 5, 13, 17

and find an exact solution to

A\hat{x} = p