Homework 1, due January 26, 2011.

Due Wednesday, January 26, 2011.
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goodwine
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Homework 1, due January 26, 2011.

Post 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.
Bill Goodwine, 376 Fitzpatrick
cdiberna

Re: Homework 1, due January 26, 2011.

Post by cdiberna »

In order to do the second part of A_6, do we have a condition for xi_4(0)? Thanks!
goodwine
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Re: Homework 1, due January 26, 2011.

Post 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.
Bill Goodwine, 376 Fitzpatrick
Adam W.

Re: Homework 1, due January 26, 2011.

Post 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?
goodwine
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Re: Homework 1, due January 26, 2011.

Post 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).
Bill Goodwine, 376 Fitzpatrick
sprender

Re: Homework 1, due January 26, 2011.

Post 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?
goodwine
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Re: Homework 1, due January 26, 2011.

Post 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.
Bill Goodwine, 376 Fitzpatrick
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