Linear Algebra Vector Spaces

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V of all the differentiable real valued functions on the set of real numbers. Define T : V → V such that df T ( f ) = D( f ) − f = −f dx Consider the vector space For example, ( T (5e x ) a) Find b) T (sin x ) = cos x − sin x , with usual notations. T 3x2 − 1 c) Show that T ) is a linear transformation. d) Find the Kernel of T . ...
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Tate C (183)
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