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Introduction to Linear Algebra

Exercise 2.6.9

Answers

2 by 2: $d = 0$ is not allowed;

[\begin{matrix} 1 & 1 & 0 \\ 1 & 1 & 2 \\ 1 & 2 & 1 \end{matrix}] = [\begin{matrix} 1 \\ ℓ & 1 \\ m & n & 1 \end{matrix}] [\begin{matrix} d & e & g \\ f & h \\ i \end{matrix}]

1.: $d = 1, e = 1$ , then $ℓ = 1$
2.: $f = 0$ is not allowed
3.: no pivot in row 2

mathchakra

2021-12-20 21:03

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