Linear Algebra and Its Applications · Problem 2.4.14

Vector Spaces — Gilbert Strang

Mathematics · four-fundamental-subspaces

Problem

Find a left-inverse and/or a right-inverse (when they exist) for

A = \begin{bmatrix} 1 & 1 & 0 \\ 0 & 1 & 1 \end{bmatrix} \quad \text{and} \quad M = \begin{bmatrix} 1 & 0 \\ 1 & 1 \\ 0 & 1 \end{bmatrix} \quad \text{and} \quad T = \begin{bmatrix} a & b \\ 0 & a \end{bmatrix}.