2. Let 2 2 A = 1 -3 1 -3 a. Compute eA using the definition of the matrix exponential. b. What is the general solution to a' = Ax? c. Without using the characteristic polynomial of A, what are the eigenvalues of A?

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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Chapter1: Functions And Models
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Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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2. Let
2 2
A =
1
-3
1
-3
a. Compute eA using the definition of the matrix exponential.
b. What is the general solution to a' = Ax?
c. Without using the characteristic polynomial of A, what are the eigenvalues of A?
Transcribed Image Text:2. Let 2 2 A = 1 -3 1 -3 a. Compute eA using the definition of the matrix exponential. b. What is the general solution to a' = Ax? c. Without using the characteristic polynomial of A, what are the eigenvalues of A?
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