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However, if we change the definition of vector addition to: u v = (₁, U₂) (V₁, V₂) = (U₁ + V₁, U₂ + V₂ = b) and definiti
Posted: Wed Jul 06, 2022 11:52 am
by answerhappygod
- However If We Change The Definition Of Vector Addition To U V U V V U V U V B And Definiti 1 (22.41 KiB) Viewed 20 times
However, if we change the definition of vector addition to: u v = (₁, U₂) (V₁, V₂) = (U₁ + V₁, U₂ + V₂ = b) and definition of scalar multiplication to: cu = c (₁, ₂) = (cu₁, cu₂ - cb + b) the set S₂ is a vector space. Verify this
statement by confirming that all ten axioms in the definition of a vector space are true for all vectors in the set.