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Exercise 2.1.5

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If $x, y, z$ satisfy the first two equations they also satisfy the third equation $=$ sum of the first two. The line $L$ of solutions contains $v = (1, 1, 0)$ and $w = (\frac{1}{2}, 1, \frac{1}{2})$ and $u = \frac{1}{2} v + \frac{1}{2} w$ and all combinations $c v + d w$ with $c + d = 1$ . (Notice that requirement $c + d = 1$ . If you allow all $c$ and $d$ , you get a plane.)

mathchakra

2021-11-20 14:37

Exercise 2.1.5

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