Homework 1, due January 26, 2011.

[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.

[cdiberna]

In order to do the second part of A_6, do we have a condition for xi_4(0)? Thanks!

[goodwine]

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.

[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?

[goodwine]

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).

[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?

[goodwine]

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.