Exercise 2.3.31

Answers

E_{21} = [\begin{matrix} 1 \\ a & 1 \\ 0 & 0 & 1 \\ 0 & 0 & 0 & 1 \end{matrix}], E_{32} = [\begin{matrix} 1 \\ 0 & 1 \\ 0 & b & 1 \\ 0 & 0 & 0 & 1 \end{matrix}], E_{43} = [\begin{matrix} 1 \\ 0 & 1 \\ 0 & 0 & 1 \\ 0 & 0 & c & 1 \end{matrix}]

Hence,

E_{43} E_{32} E_{21} = [\begin{matrix} 1 \\ a & 1 \\ ab & b & 1 \\ abc & bc & c & 1 \end{matrix}]

mathchakra

2021-11-20 15:25