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Prove that if W^6 is not in the span{v1, v2, . . . , vk}, then...

Prove that if

W^6 is not in the span{v1, v2, . . . , vk},

then span{v1, v2, . . . , vk} ⊂ span{v1, v2, . . . , vk, w}.

(Notice that the inclusion got to be proven to be a strict inclusion.)

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