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

Functions of many variables, There may be more than one independent v...

There may be more than one independent variable which determines the value of y. The dimension of a function is determined by the number of independent variables in the

Find the median, Marks obtained by 70 students are given below: ...

Marks obtained by 70 students are given below: M arks 20 70 50 60 75 90 40 No.

.fractions, what is the difference between North America''s part of the tot...

what is the difference between North America''s part of the total population and Africa''s part

Write radicals in exponent form, Write each of the given radicals in expone...

Write each of the given radicals in exponent form. Solution As illustrated in the last two parts of this example we have to be careful with parenthesis.  While we

Physics of medical imaging, A radiograph is made of an object with a width ...

A radiograph is made of an object with a width of 3 mm using an x-ray tube with a 2 mm focal spot at a source-to-film distance of 100 cm. The object being imaged is 15 cm from the

Alcohol Solutions, If you have 60% alcohol and wish to dilute with water to...

If you have 60% alcohol and wish to dilute with water to make 12 liters 40% alcohol, How many liters of water should you add?

Algebra2;, log6 X + log6 (x-5) = 1

log6 X + log6 (x-5) = 1

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