Mathematics

Mathematics, 04.07.2019 22:30, zgleasontaekwondo

What is the identity element for addition of real numbers? a. 1 b. 0 c. -1 d. 2

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What is the identity element of addition of real numbers? a. 2b. 0c. -1d. 1

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Let v be the set of real numbers endowed with the following operations of addition (b) cation () defined as follows: and scalar multipli- (a) (addition) for each v, w e v, v田w = 5 + v + w (where + is ordinary addition of real numbers). (b) (scalar multiplication) for each r e r and each v e v.rs v-sr-i̇) + rv. prove that (v,b, e) satisfies the eight axioms of vector space. in particular, identify the additive identity 0 e v, and the additive inverse -v of each vector v e v.

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Let v be the set of real numbers endowed with the following operations of addition (b) and scalar multipli- cation (8) defined as follows: (a) (addition) for each v, w e v, vb w 8+v + w (where + is ordinary addition of real numbers). (b) (scalar multiplication) for each r e r and each ve v, r v = 8(r-l ) + rv prove that (v,a, s) satisfies the eight axioms of vector space. in particular, identify the additive identity o the additive inverse -v of each vector v e v v, and

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