Consider the following linear maps T : R2 –→ Rª and S : Rª → M(2,R) defined as follows: 2x + 3y %3D -y I + y 3r r + y S( %3D 2z 3w w a) Determine if the composition S o T is injective (one-to-one). b) Determine if S is an isomorphism. If yes, compute the inverse map (you must write down a formula for the inverse linear map if it exists)

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