Let V = R with the following vector addition and scalar multiplication: [x]+[ [x + +7]...

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Let V = R² with the following vector addition and scalar multiplication: [x]+[ [x₁ +₁ +7] = [CX₁] = Is vector addition standard or non-standard? Is scalar multiplication standard or non-standard? If vector addition is non-standard, then what is the zero vector in V? If vector addition is non-standard, then what do additive inverse (or opposite) look like in V? Determine if V is a vector space (Show all properties! If you don't have a vector space, then tell which properties hold and which ones don't!) Let V = R² with the following vector addition and scalar multiplication: [x]+[ [x₁ +₁ +7] = [CX₁] = Is vector addition standard or non-standard? Is scalar multiplication standard or non-standard? If vector addition is non-standard, then what is the zero vector in V? If vector addition is non-standard, then what do additive inverse (or opposite) look like in V? Determine if V is a vector space (Show all properties! If you don't have a vector space, then tell which properties hold and which ones don't!)

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