Question: solve this question FAST thanks Let V denote the vector space of all infinite sequences of real numbers I = (TO, $1, 12, . .

solve this question FAST thanks

Let V denote the vector space of all infinite sequences of real numbers I = (TO, $1, 12, . . .), equipped with the standard operations of term-by-term addition and scalar multiplication: (co, $1, 22, . . .) + (90, 91, 92, . . .) = (Co + yo, *1 + 91, 2 + 92,.. .), and k(To, $1, 12, . . .) = (kro, kr1, kx2, . . .), for a, y E V, k E R. Consider the 'left shift' linear transformation T : V - V. T((JO, $1, 12, . . .)) = (21, $2, 23 . . .). Determine whether 7' is an isomorphism, and justify your

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