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Mathematics Qualifying Exam Question Bank

Department of Mathematics

Question

Math 6420 • PDE

Spring 2009 • Question 1

Question

Math 6420 • PDE Spring 2009 • Question 1

  1. The least squares psuedo-inverse of \(A\) is a matrix \(B\) which satisfies what two properties?
  2. Find the pseudoinverse of the matrix \[ A= \begin {pmatrix} 1 & 2\\ 1 & 2 \end {pmatrix}. \]

Raw LaTeX

\begin{enumerate}
\item[(a)] The least squares psuedo-inverse of \(A\) is a matrix \(B\) which satisfies what two
properties?

\item[(b)] Find the pseudoinverse of the matrix
\[
  A=
  \begin{pmatrix}
    1 & 2\\
    1 & 2
  \end{pmatrix}.
\]
\end{enumerate}

Topic Tags

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