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Exercise 3.4.7

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The sum $v_{1} - v_{2} + v_{3} = 0$ because $(w_{2} - w_{3}) - (w_{1} - w_{3}) + (w_{1} - w_{2}) = 0 .$ So the differences are dependent and the difference matrix is singular:

A = [\begin{matrix} 0 & 1 & 1 \\ 1 & 0 & - 1 \\ - 1 & - 1 & 0 \end{matrix}] .

mathchakra

2022-01-23 15:43

Exercise 3.4.7

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