26 Prove That If S V V V3 Is A Linearly Dependent Set Of Vec Tors In A Vector Space V And V4 Is Any Vector In 1 (14.6 KiB) Viewed 22 times
26 Prove That If S V V V3 Is A Linearly Dependent Set Of Vec Tors In A Vector Space V And V4 Is Any Vector In 2 (7.41 KiB) Viewed 22 times
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26. Prove that if S = {V₁, V₂, V3} is a linearly dependent set of vec- tors in a vector space V, and v4 is any vector in V that is not in S, then {V₁, V₂, V3, V4} is also linearly dependent.
28. Prove that in P₂ every set with more than three vectors is lin- early dependent.
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