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Which pair of vector addition and scalar multiplication definitions would make S₂ = {(x, y) = R²: y = ex} a vector space
Posted: Wed Jul 06, 2022 11:47 am
by answerhappygod
- Which Pair Of Vector Addition And Scalar Multiplication Definitions Would Make S X Y R Y Ex A Vector Space 1 (37.09 KiB) Viewed 15 times
Which pair of vector addition and scalar multiplication definitions would make S₂ = {(x, y) = R²: y = ex} a vector space (A, B, or C)? Verify your answer by confirming that all ten axioms in the definition of a vector space are true for all vectors in the set. A. uv = (₁, ₂) (V₁, V₂) = (U₁ + V₁, Inu₂ + Inv₂) couco (₁, ₂) = (cu₁, clnu₂) B. C. u✪v = (U₁, U₂) ✪ (V₁, V₂) = (U₁ + V₁, U₂V₂) couco (₁, ₂) = (cu₁₁u₂c) u✪v = (U₁₁ U₂) ✪ (V₁, V₂) = (U₁ + V₁, e¹² + €¹²) couco (₁, ₂) = (cu₁, ec₂)