Suppose v1;:::; vm is a linearly dependent list of vectors in V. Supposealso that W f0g

Chapter 3, Problem 13

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Suppose v1;:::; vm is a linearly dependent list of vectors in V. Supposealso that W f0g. Prove that there exist w1;:::;wm 2 W such that noT 2 L.V; W / satisfies T vk D wk for each k D 1; : : : ; m.

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