Suppose that A is a 2 x 2 matrix with eigenvalues A, =, = | and 1=. Let = Part (a) corresponding eigenvectors ū; = | be a 2 x 1 vector given by and = A'5o. Suppose o = Question: Write %, in terms of our eigenvectors. Part (b) Use your work in part a to approximate one of the following quantities for (Circle the one which you are approzimating.) large t: or

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
Suppose that A is a 2 x 2 matrix with eigenvalues A, =, = | and
1=. Let =
Part (a)
corresponding eigenvectors ū; = |
be a 2 x 1 vector given by
and
= A'5o. Suppose o =
Question: Write %, in terms of our eigenvectors.
Part (b)
Use your work in part a to approximate one of the following quantities for
(Circle the one which you are approzimating.)
large t:
or
Transcribed Image Text:Suppose that A is a 2 x 2 matrix with eigenvalues A, =, = | and 1=. Let = Part (a) corresponding eigenvectors ū; = | be a 2 x 1 vector given by and = A'5o. Suppose o = Question: Write %, in terms of our eigenvectors. Part (b) Use your work in part a to approximate one of the following quantities for (Circle the one which you are approzimating.) large t: or
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