Show that the set â„2R2, equipped with operations
(?1,?1)+˜(?2,?2)=(?1+?2+1,?1+?2−1)(x1,y1)+~(x2,y2)=(x1+x2+1,y1+y2−1)
? ⋅˜ (?,?)=(??+?−1,??−?+1)
(1)defines a vector space over â„R.
(2)Show...
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Advance Math
Show that the set â„2R2, equipped with operations
(2)Show that the vector space ?V defined in question 1 isisomorphic to â„2R2 equipped with its usual vector space operations.This means you need to define an invertible linear map?:?→â„2T:V→R2.
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