Riley hobson bence · Problem 8.43

Matrices and vector spaces

Mathematics — Methods · singular-value-decomposition

Problem

Four experimental measurements of particular combinations of three physical variables,

x

y

and

z

, gave the following inconsistent results:

13x + 22y - 13z = 4,

10x - 8y - 10z = 44,

10x - 8y - 10z = 47,

9x - 18y - 9z = 72.

Find the SVD best values for

x

y

and

z

. Identify the null space of

A

and hence obtain the general SVD solution.