Show that a set is affinely dependent when

Chapter 8, Problem 12E

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QUESTION:

Show that a set \(\left\{\mathbf{v}_{1}, \ldots, \mathbf{v}_{p}\right\}\) in \(\mathbb{R}^{n}\) is affinely dependent when \(p \geq n+2\).

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QUESTION:

Show that a set \(\left\{\mathbf{v}_{1}, \ldots, \mathbf{v}_{p}\right\}\) in \(\mathbb{R}^{n}\) is affinely dependent when \(p \geq n+2\).

ANSWER:

Solution 12ELet in where The objective is to show that this set is affinely dependent.An indexed set of points in is affinely dependent if there exist real numbers such that

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