Question: Let S be a nonempty subset of a linear space, and let m = dim S =dim aff S. Consider the set 1. Show that

Let S be a nonempty subset of a linear space, and let m = dim S =dim aff S. Consider the set

Let S be a nonempty subset of a linear space,
Let S be a nonempty subset of a linear space,

1. Show that dim cone = dim S + 1.
2. For every x ˆˆ conv S, there exists m +1 points x1, x2,...,xm+1 ˆˆ S such that
x ˆˆ conv {x1; x2; . . . ; xm+1}

X \.xeS cone S conv &

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