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Homework 1, due January 26, 2011.
Posted: Fri Jan 21, 2011 10:20 am
by goodwine
Reading: Chapter 6, sections 1-4.
Exercises: 6.2 (only A_1, A_3, A_5, A_6, A_8), 6.3 (only the matrices you did from 6.2 that are 3x3) and 6.18.
Re: Homework 1, due January 26, 2011.
Posted: Sat Jan 22, 2011 10:53 am
by cdiberna
In order to do the second part of A_6, do we have a condition for xi_4(0)? Thanks!
Re: Homework 1, due January 26, 2011.
Posted: Sat Jan 22, 2011 1:46 pm
by goodwine
cdiberna wrote:In order to do the second part of A_6, do we have a condition for xi_4(0)? Thanks!
I don't have the book with me, but if it's just missing the fourth component then assume it's 1.
Re: Homework 1, due January 26, 2011.
Posted: Sun Jan 23, 2011 8:07 pm
by Adam W.
Professor Goodwine,
One of the assigned matrices for Problem 6.3 (A_6) is a 4x4 matrix, while the book's conditions are given for a 3x3 matrix. Would it be acceptable to approach this problem by making xi_4(0) = 0?
Re: Homework 1, due January 26, 2011.
Posted: Sun Jan 23, 2011 8:15 pm
by goodwine
Adam W. wrote:Professor Goodwine,
One of the assigned matrices for Problem 6.3 (A_6) is a 4x4 matrix, while the book's conditions are given for a 3x3 matrix. Would it be acceptable to approach this problem by making xi_4(0) = 0?
Make it 1 (see above).
Re: Homework 1, due January 26, 2011.
Posted: Mon Jan 24, 2011 8:50 pm
by sprender
For Problem 6.2, Matrix A_5, why can the vector [1 1 1 1] not be an eigenvector given the eigenvalue of 5?
Re: Homework 1, due January 26, 2011.
Posted: Mon Jan 24, 2011 10:54 pm
by goodwine
sprender wrote:For Problem 6.2, Matrix A_5, why can the vector [1 1 1 1] not be an eigenvector given the eigenvalue of 5?
It can be.