Linear Algebra and Its Applications · Problem 15

Positive Definite Matrices — Gilbert Strang

Mathematics · singular-value-decomposition-pseudoinverse

Problem

Find the SVD and the pseudoinverse

V\Sigma^+ U^T

A = \begin{bmatrix} 1 & 1 & 1 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} 0 & 1 & 0 \\ 1 & 0 & 0 \end{bmatrix}, \quad \text{and} \quad C = \begin{bmatrix} 1 & 1 \\ 0 & 0 \end{bmatrix}.