If we change the definition of vector addition to: ² Ⓒv = (U₁₁ U₂) ✪ (vV₁, V₂) = (U₁ + V₁, U₂ + V₂ = b) and definition o

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If We Change The Definition Of Vector Addition To V U U Vv V U V U V B And Definition O 1 (32.74 KiB) Viewed 18 times

If we change the definition of vector addition to: ² Ⓒv = (U₁₁ U₂) ✪ (vV₁, V₂) = (U₁ + V₁, U₂ + V₂ = b) and definition of scalar multiplication to: cu = co (₁, ₂) = (cu₁, cu₂ - cb + b) the set S₂ = {(x, y) = R² : y = 4x+8} where k =4 and b=8 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.