Suppose that V is a vector space over R (not necessarily finite dimensional), and that T1 : V −→ V and T2 : V −→ V are linear transformations from V to V with the property that T3 = T2 ◦ T1 is the identity transformation, i.e. that T3(v) = v for all vectors v in V .
(a) Prove that T1 is injective.
(b) Prove that T2 is surjective.
Stacey Warren - Expert brainly.com
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maybe you could use this: talking about linear transf., is talking about matrixes. since T3 = T2 ◦ T1 is identity transformation. It means that T2 is inverse of T1. Matrix only have inverse if its regular. From here shouls folow that any vector in Space Image would have unic corespondence with vector in Space Domain. And since the matrixes we talking about are square, same for the inverse situation. Not sure tough.... I am a bit rusty with algebra
maybe experimentX can add something better, :)
seriously can't think a word ... except T2 is inverse of T1