Complex eigenvalues, Mathematics

Assignment Help:

It is the last case that we need to take a look at. Throughout this section we will look at solutions to the system,

x?' = A x?

Here the eigenvalues of the matrix A are complex. By using complex eigenvalues we are going to have similar problem that we had back while we were looking at second order differential equations. We need our solutions to only have real numbers in them, though as our solutions to systems are of the form,

x?1 = ?h elt

We are going to contain complex numbers come in our solution from both the eigenvector and the eigenvalue. Getting rid of the complex numbers now will be same to how we did this back in the second order differential equation case, although will include a little more work this time around. It's simple to see how to do it in an example.


Related Discussions:- Complex eigenvalues

Logic family, what are the characteristic of digital ic

what are the characteristic of digital ic

Case study, considring the concept of product life cycle,where would you pu...

considring the concept of product life cycle,where would you put viedo games in thier life cycle?

Determine how maximum revenue with transportation model, The government is...

The government is auctioning off oil leases at two sites. At each site, 100,000 acres of land are to be auctioned. Cliff Ewing, Blake Barnes and Alexis Pickens are bidding for the

Prove the arithmetic progressions equation, Prove that a m + n + a m - n ...

Prove that a m + n + a m - n  =2a m Ans:    a m + n = a 1 + (m + n - 1) d a m-n = a 1 + (m - n -1) d a m = a 1 + (m-1) d Add 1 & 2 a m+n + a m-n  =

GCF, Find the GCF of 70 and 112

Find the GCF of 70 and 112

What is the sale price of the printer, A printer which sells for $190 is on...

A printer which sells for $190 is on sale for 20% off. What is the sale price of the printer? The printer is 20% off. That means that it is 80% of its original price (100% - 2

Prove that the ratio of the sum of odd terms, If there are (2n+1)terms  in ...

If there are (2n+1)terms  in an AP ,prove that the ratio of the sum of odd terms and the sum of even terms is (n+1):n Ans:    Let a, d be the I term & Cd of the AP. ∴ ak =

NUMERICAL PARTIAL DIFFERENTIAL EQUATIONS, Our objective is solve the follo...

Our objective is solve the following fourth-order BVP: (a(x)u'' )'' = f (x) u(0) = u(1)=0 u(0)' = u(1)'=0 (a) Give the variational formulation of the above BVP. (b) Describe the

Introduction to the normal distribution, Q. Introduction to the Normal Dist...

Q. Introduction to the Normal Distribution? Ans. The Binomial distribution is a model for what might happen in the future for a discrete random variable. The Normal Distri

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd