MATH 2R03 Lecture 3: 2R03 Lecture 3

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0 ) is said to be a vector space over. The symbol 0 denotes a special element of v non empty set. To 0 ( b ) ( tot ) out. 0+0=0 to ( too ) = ( to. T ) @ ( too ) ( s + hot. = ( soo ) +0 ( too ) f) ( st ) of so ( too ) (g) ( h ) *definition : v is a vector space over. Proof : by 54 ) and the fact that. = ( fl ) of ) +00 by definition @ = 8 since fl ) +1=0 ina field by 5k ) Lemma : to ( too ) = ( todo ( too ) , us + is , un th ) by def . of. Hua + vs ) t ( un th ) ) by def of 0 tv tv , ) ( to:

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