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https://texercises.com/exercise/isomorphisms-and-composition/
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Exercise:
Let T:Vlongrightarrow W and S:Wlongrightarrow U be a linear maps. Then the composition Scirc T: Vlongrightarrow U is also linear.

Solution:
proof. Let abin K v_ v_in V. Then Scirc Tav_+bv_STav_+bv_ SaTv_+bTv_ SaTv_+SbTv_ aSTv_+bSTv_ a Scirc Tv_+b Scirc Tv_.
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Exercise:
Let T:Vlongrightarrow W and S:Wlongrightarrow U be a linear maps. Then the composition Scirc T: Vlongrightarrow U is also linear.

Solution:
proof. Let abin K v_ v_in V. Then Scirc Tav_+bv_STav_+bv_ SaTv_+bTv_ SaTv_+SbTv_ aSTv_+bSTv_ a Scirc Tv_+b Scirc Tv_.
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eth, hs22, isomorphism, lineare algebra, proof, vector space
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(3, default)
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Language
ENG (English)
Type
Proof
Creator rk
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