10. For each of the following functions f, find the matrix representative of a linear transformation T...

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10. For each of the following functions

f, find the matrix representative of a linear transformation T E C(R; Rm) that satisfies lim Ilf(x + h) - £(x) - T(h)11 = o.

h-+O

(a) f(x) = (x2 ,sinx).

(b) f(x) = (eX, ~, 1 - x2 ).

(c) f(x) = (1,2,3,x2 +x,x2 -x).

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An Introduction To Analysis

ISBN: 9780131453333

3rd Edition

Authors: William R. Wade

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Question Posted: Jul 18, 2024 07:10 AM

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10. For each of the following functions f, find the matrix representative of a linear transformation T...

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An Introduction To Analysis

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