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Solutions for Linear Algebra | 4th Edition | ISBN: 9780130084514 | Authors: Stephen H. Friedberg, Arnold J. Insel, Lawrence E. Spence 9780130084514

Solution for problem 20 Chapter 1.5

Let /, g, F(R, R) be the functions defined by f(t) = e rt and g(t) = e st , where r ^ s

Linear Algebra | 4th Edition


Problem 20

Let /, g, F(R, R) be the functions defined by f(t) = e rt and g(t) = e st , where r ^ s. Prove that / and g are linearly independent in J-(R, R)

Accepted Solution
Step-by-Step Solution:

Step 1 of 3

Given polynomial  and  , where .

Taylor expansion of as;

Taylor expansion of  as;

Chapter 1.5, Problem 20 is Solved

Step 2 of 3


Step 3 of 3

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Let /, g, F(R, R) be the functions defined by f(t) = e rt and g(t) = e st , where r ^ s