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Exercise 2.6.1

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$ℓ_{21} = 1$ multiplied row $1$ ; $L = [\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}]$ times $U x = [\begin{matrix} 1 & 0 \\ 1 & 1 \end{matrix}] [\begin{matrix} x \\ y \end{matrix}] = [\begin{matrix} 5 \\ 2 \end{matrix}] = c$ is

A x = b = [\begin{matrix} 1 & 1 \\ 1 & 2 \end{matrix}] [\begin{matrix} x \\ y \end{matrix}] = [\begin{matrix} 5 \\ 7 \end{matrix}] .

In letters, $L$ multiplies $Ux = c$ to give $A x = b$ .

mathchakra

2021-12-20 20:46

Exercise 2.6.1

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