14. Least Squares and Applications

Normal Equations — Quiz

Test your understanding of normal equations with 5 practice questions.

Practice Questions

Question 1

Which equation is the normal equation for a least-squares solution of $Ax \approx b$?

Question 2

At a least-squares solution, the residual vector $r=b-Ax$ is orthogonal to what?

Question 3

A system with more equations than unknowns, such as $m>n$ for an $m\times n$ matrix $A$, is called what?

Question 4

If $A$ has full column rank, what is true about $A^T A$?

Question 5

What is the main goal of least squares in the context of normal equations?