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Posted: **Tue Jul 12, 2022 12:39 pm**

: Let V Be A Vector Space Over A Field F Let B Un Be A Basis For V 1 Prove That For Any A E F Such That A 2 P 1 (18.78 KiB) Viewed 30 times

Let V be a vector space over a field F. Let B = {₁,...,Un} be a basis for V 1. Prove that for any a E F such that a 2. Prove that B+v₁ = {v₁ + V₁, V₂ + v₁, ..., Un + U₁} is a basis for V. 0. the set Ba= {a v₁,..., a vn} is a basis for V.