1. For T € L(V,W), prove that null(T) = (range(T*)) and range(T) = (null(T*))+.

1. For T € L(V,W), prove that null(T) = (range(T)) and range(T) = (null(T))+.

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter4: Calculating The Derivative

Section4.4: Derivatives Of Exponential Functions

Problem 23E: Find derivatives of the functions defined as follows. fz=2z+e-z22

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1. For T € L(V,W), prove that null(T) = (range(T*)) and range(T) = (null(T*))+.

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