HW4 Prob 3 Hint: Difference between revisions
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Since how to calculate the transform needed to find the B matrix for the convolution equation has not been introduced, please use this vector for the B matrix: | Since how to calculate the transform needed to find the B matrix for the convolution equation has not been introduced, please use this vector for the B matrix: | ||
<math>B = [ 0 1 ]^T< | <math>B = [ 0, 1 ]^T</math>. | ||
For those of you who want a challenge, you can find the transformation matrix T by finding the eigenvectors associated with the eigenvalues of the A matrix of the damped spring-mass equation in normalized coordinates (lecture 4.1, slide 8). | For those of you who want a challenge, you can find the transformation matrix T by finding the eigenvectors associated with the eigenvalues of the A matrix of the damped spring-mass equation in normalized coordinates (lecture 4.1, slide 8). | ||
Your convolution equation should solve for x(t). | Your convolution equation should solve for x(t) (in this problem, q(t)... just don't go to the convolution equation for y). | ||
The first part of this problem is to show that the matrix exponential equals the matrix given in Prob 5.3... don't forget to do that part! | The first part of this problem is to show that the matrix exponential equals the matrix given in Prob 5.3... don't forget to do that part! | ||
-- | --[[User:Braman|Julia Braman]] 22:15, 28 October 2007 (PDT) | ||
[[Category: CDS 101/110 FAQ - Lecture 4-3]] | |||
[[Category: CDS 101/110 FAQ - Homework 4, Fall 2007]] | |||
Latest revision as of 22:29, 29 October 2007
Since how to calculate the transform needed to find the B matrix for the convolution equation has not been introduced, please use this vector for the B matrix: . For those of you who want a challenge, you can find the transformation matrix T by finding the eigenvectors associated with the eigenvalues of the A matrix of the damped spring-mass equation in normalized coordinates (lecture 4.1, slide 8).
![{\displaystyle B=[0,1]^{T}}](https://wikimedia.org/api/rest_v1/media/math/render/svg/94bd2d3d606d41dbd3dcabde86de77ecea200f39)
Your convolution equation should solve for x(t) (in this problem, q(t)... just don't go to the convolution equation for y).
The first part of this problem is to show that the matrix exponential equals the matrix given in Prob 5.3... don't forget to do that part!
--Julia Braman 22:15, 28 October 2007 (PDT)
