Exercise 1.3.1

Answers

$3 s_{1} + 4 s_{2} + 5 s_{3} = (3, 7, 12)$ . The same vector $b$ comes from $S$ times $x = (3, 4, 5)$ :

[\begin{matrix} 1 & 0 & 0 \\ 1 & 1 & 0 \\ 1 & 1 & 1 \end{matrix}] [\begin{matrix} 3 \\ 4 \\ 5 \end{matrix}] = [\begin{matrix} (row 1) \cdot x \\ (row 2) \cdot x \\ (row 2) \cdot x \end{matrix}] = [\begin{matrix} 3 \\ 7 \\ 12 \end{matrix}]

mathchakra

2021-11-20 14:13