10. Suppose V is a vecotr space and S,T E L(V,V) are such that range(S) C null(T). Prove that (ST)² = 0. %3D

Algebra & Trigonometry with Analytic Geometry
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ISBN:9781133382119
Author:Swokowski
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Chapter6: The Trigonometric Functions
Section6.6: Additional Trigonometric Graphs
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10. Suppose V is a vecotr space and S,T E L(V,V) are such that
range(S) C null(T).
Prove that (ST)² = 0.
%3D
Transcribed Image Text:10. Suppose V is a vecotr space and S,T E L(V,V) are such that range(S) C null(T). Prove that (ST)² = 0. %3D
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