Let V be a vector space over F and 6 = (v) V. Then the followings...

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Let V be a vector space over F and 6 = (v₁₁₂₁₁) V. Then the followings are equivalent. 1) = (v₁,v) is a basis of V. 2) For each ve V, v=a₂v₁ + + av, is a unique representation. Let V be a vector space over F and 6 = (v₁₁₂₁₁) V. Then the followings are equivalent. 1) = (v₁,v) is a basis of V. 2) For each ve V, v=a₂v₁ + + av, is a unique representation.

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The image shows a mathematical statement about vector spaces It says the following Let V be a vector ... View the full answer