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(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.

Elementary Algebra
Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
Chapter1: Foundations
Section1.3: Add And Subtract Integers
Problem 1.60TI: Order each of the following pairs of numbers, using < or >: 8_13 3_4 -5_-2 9_-21
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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.

1. Use A = - 4 -7 for the following questions.
Transcribed Image Text:1. Use A = - 4 -7 for the following questions.
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.
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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