Kunze Linear Algebra · Problem 1.6.3

Systems of Linear Equations

Mathematics — Methods · matrix-invertibility

Problem

For each of the two matrices

\begin{bmatrix} 2 & 5 & -1 \\ 4 & -1 & 2 \\ 6 & 4 & 1 \end{bmatrix}, \qquad \begin{bmatrix} 1 & -1 & 2 \\ 3 & 2 & 4 \\ 0 & 1 & -2 \end{bmatrix}

use elementary row operations to discover whether it is invertible, and to find the inverse in case it is.