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