Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Show that the matrix A = et. Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. Substitute the value of r and the smallest value of k that solve the equation. 0 0 -1 -3 -3 1 0 1 At 0 1 0 00 1 satisfies (A - rI)* = 0 for some number r and some positive integer k and use this fact to determine the matrix -1 -3 -3 What is eat? 100 -1) 0 1 0 001 3 C... = 0

Show that the matrix A = et. Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. Substitute the value of r and the smallest value of k that solve the equation. 0 0 -1 -3 -3 1 0 1 At 0 1 0 00 1 satisfies (A - rI)* = 0 for some number r and some positive integer k and use this fact to determine the matrix -1 -3 -3 What is eat? 100 -1) 0 1 0 001 3 C... = 0

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
See similar textbooks
icon
Related questions
Question

Subject: algebra 

Show that the matrix A = eAt. Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. 0 1 0 0 0 1 satisfies (A - rI)* = 0 for some number r and some positive integer k and use this fact to determine the matrix -1 -3 -3 Substitute the value of r and the smallest value of k that solve the equation. 0 1 0 0 0 1 -1 -3 -3 What is eat? At 100 -1) 0 1 0 001 3 = 0
Transcribed Image Text:Show that the matrix A = eAt. Hint: Compute the characteristic polynomial and use the Cayley-Hamilton theorem. 0 1 0 0 0 1 satisfies (A - rI)* = 0 for some number r and some positive integer k and use this fact to determine the matrix -1 -3 -3 Substitute the value of r and the smallest value of k that solve the equation. 0 1 0 0 0 1 -1 -3 -3 What is eat? At 100 -1) 0 1 0 001 3 = 0
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,
SEE MORE TEXTBOOKS