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In: Advanced Math

V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c...

V=[(a b), a,b E R+] with (a1 b1)+(a2 b2)=(a1a2 b1b2)and for c E R, c(a b)=(a^c b^c) is a vector space over R. Define T:R^2 to V by T[a b]= (e^a e^b). prove T is a linear transformation from R2 to V.

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