Exercise 3.2.53

Answers

A = (pivot columns)(nonzero rows of R) = [\begin{matrix} 1 & 0 \\ 1 & 4 \\ 1 & 8 \end{matrix}] [\begin{matrix} 1 & 1 & 0 \\ 0 & 0 & 1 \end{matrix}] = [\begin{matrix} 1 & 1 & 0 \\ 1 & 1 & 0 \\ 1 & 1 & 0 \end{matrix}] + [\begin{matrix} 0 & 0 & 0 \\ 0 & 0 & 4 \\ 0 & 0 & 8 \end{matrix}] .

B = [\begin{matrix} 2 & 2 \\ 2 & 3 \end{matrix}] [\begin{matrix} 1 & 0 \\ 0 & 1 \end{matrix}] = columns times rows = [\begin{matrix} 2 & 0 \\ 2 & 0 \end{matrix}] + [\begin{matrix} 0 & 2 \\ 0 & 3 \end{matrix}] .

mathchakra

2022-01-23 14:05