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

Example to compute limit, calculates the value of the following limit. ...

calculates the value of the following limit. Solution Now, notice that if we plug in θ =0 which we will get division by zero & so the function doesn't present at this

0^0, what is the value of zero to the power raised to zero?

what is the value of zero to the power raised to zero?

Angles, in the quadrilateral abcd,ab is 4.3,bd is 5.1,ad is 4.8.angle bdc i...

in the quadrilateral abcd,ab is 4.3,bd is 5.1,ad is 4.8.angle bdc is 20 degrees and angle c is 80 degrees.all dimentions in metres.calculate the unknown sides and angles of the plo

Repetition need not be boring-ways to aid learning maths, Repetition Need N...

Repetition Need Not Be Boring :  From an early age on, children engage in and learn from repetitive behaviour, such as dropping and picking up things, opening and closing boxes an

Using substitution solving polynomial equations, Using Substitution Solving...

Using Substitution Solving Polynomial Equations ? Solve : (x 3 + 4) 2 - 15 (x 3 + 4) + 36 = 0. You might be tempted to multiply everything out and factor. However, there

What kinds classroom activities help children to learn maths, What kinds of...

What kinds of classroom activities can you think of for helping children to make groups of 5 and 10? Once they have enough practice with such activities, children can be helped

Proof f(x) + g(x) dx = f(x) dx + g(x) dx anti-derivation, Proof of: ...

Proof of: ∫ f(x) + g(x) dx = ∫ f(x) dx + ∫g(x) dx It is also a very easy proof. Assume that F(x) is an anti-derivative of f(x) and that G(x) is an anti-derivative of

form a pythagorean triple, A Pythagorean triple is a set of positive integ...

A Pythagorean triple is a set of positive integers (a,b,c) like  a2 + b2 = c2.  Write a function "ispythag" that will receive 3 positive integers (a, b, c in that order) and will r

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