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  • 09-10-2022
  • Mathematics
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2. Let S = R - {0}, with the wacky definitions of vector addition and scalar multiplication given below.
Verify or disprove that S is a Vector Space.
For x, y in S, the definition:
Vector Addition: x + y = xy
• Scalar Multiplication: c*x = x^C.
(ie. 2+5= 2*5 = 10)
Hint: First identify the additive identity

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