Exercise 2.3.3

Answers

[\begin{matrix} 1 & 0 & 0 \\ - 4 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}], [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 2 & 0 & 1 \end{matrix}], [\begin{matrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & - 2 & 1 \end{matrix}] M = E_{32} E_{31} E_{21} = [\begin{matrix} 1 & 0 & 0 \\ - 4 & 1 & 0 \\ 10 & - 2 & 1 \end{matrix}] .

Those $E^{'}$ s are in the right order to give $MA = U$ .

mathchakra

2021-11-20 15:12