Skip to content

Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Fall 1995 • Question 2

Question

Math 6420 • PDE Fall 1995 • Question 2

Let \(A\) be a real \(m\times n\) matrix.

  1. Define the Least Square Pseudo-Inverse \(A'\).
  2. Show how Gaussian Elimination can be used to compute \(A'\).

Raw LaTeX

Let \(A\) be a real \(m\times n\) matrix.
\begin{enumerate}
\item[(a)] Define the Least Square Pseudo-Inverse \(A'\).
\item[(b)] Show how Gaussian Elimination can be used to compute \(A'\).
\end{enumerate}

Topic Tags

Gaussian Elimination and Pivoting Least Squares and Normal Equations Linear Programming and Optimization Moore-Penrose Pseudoinverse