(b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies (0) = I. (c) Use Þ(t) to find the solution which has initial value x(0) = (3). (d) Find a Jordan Form J for the matrix A.
(b) Find the fundamental matrix Þ(t) for the system x' = Ax which satisfies (0) = I. (c) Use Þ(t) to find the solution which has initial value x(0) = (3). (d) Find a Jordan Form J for the matrix A.
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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You may use a calculator to perform basic calculations on these problems: ? Row reduction
? Matrix multiplication
? Matrix inverses
? Finding eigenvalues and eigenvectors
This will greatly reduce the amount of time you have to spend on the assignment. I only ask that you show what steps you are taking.
Please show your process for calculating generalized eigenvectors and please answer all three.
Transcribed Image Text:1. Use A =
-
4 -7
for the following questions.
Transcribed Image Text:Ax which satisfies (0) = I.
(b) Find the fundamental matrix (t) for the system x'
=
(c) Use (t) to find the solution which has initial value x(0) = (2).
(d) Find a Jordan Form J for the matrix A.
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