×

### Let's log you in.

or

Don't have a StudySoup account? Create one here!

×

### Create a StudySoup account

#### Be part of our community, it's free to join!

or

##### By creating an account you agree to StudySoup's terms and conditions and privacy policy

Already have a StudySoup account? Login here

## Calc III for Comput Sci

by: Chelsea Nolan MD

19

0

0

# Calc III for Comput Sci MATH 2605

Chelsea Nolan MD

GPA 3.62

John Elton

### Almost Ready

These notes were just uploaded, and will be ready to view shortly.

Purchase these notes here, or revisit this page.

Either way, we'll remind you when they're ready :)

### Preview These Notes for FREE

Get a free preview of these Notes, just enter your email below.

×
Unlock Preview

### Preview these materials now for free

Why put in your email? Get access to more of this material and other relevant free materials for your school

COURSE
PROF.
John Elton
TYPE
Class Notes
PAGES
0
WORDS
KARMA
25 ?

## Popular in Mathematics (M)

This 0 page Class Notes was uploaded by Chelsea Nolan MD on Monday November 2, 2015. The Class Notes belongs to MATH 2605 at Georgia Institute of Technology - Main Campus taught by John Elton in Fall. Since its upload, it has received 19 views. For similar materials see /class/233951/math-2605-georgia-institute-of-technology-main-campus in Mathematics (M) at Georgia Institute of Technology - Main Campus.

×

## Reviews for Calc III for Comput Sci

×

×

### What is Karma?

#### You can buy or earn more Karma at anytime and redeem it for class notes, study guides, flashcards, and more!

Date Created: 11/02/15
Here are some problems on eigenvalsVects and determinants taken from old nals or exams or practice material There may be another few added later 9 4 0 lLetA 6 l 0 6 4 3 a Find the eigenvalues of A be smart and expand the determinant by the last column For your information the eigenvalues for this matrix are integers and one of them is 3 Please do the algebra carefully b Find a basis for ker A 7 31 What is the dimension of this kernel you can do paIt b even if you did not do paIt a This kernel is called the eigenspace associated with the eigenvalue 3 and all nonzero elements in it are eigenvalues The dimension is called the geometric multiplicity of the eigenvalue 1 3 2 Let A I Find the eigenvalues of A Find corresponding eigenvectors of A Find a matrix V and a diagonal matrix D such that V39lAV D you are not required to multiply it out unless you just want to as a check Find V391 Find a formula for A1 that is just 3 matrices multiplied together you do not have to actually multiply them 2 1 1 3 Let A l 3 0 Given that 7 l is an eigenvalue of A you do not have to find any of the 1 1 2 other eigenvalues of A nd an eigenvector associated with this eigenvalue 1 1 2 4 Let A 2 I Find the eigenvalues of A they are integers Find the corresponding eigenvectors of A Find a matrix V and a diagonal matrix D such that V39lAV D you are not required to multiply it out unless you just want to as a check Express this as A VDV39l Use this to nd a formula for An written as the product of 3 matrices Note that the eigenvectors are 01thogonal for this problem that happens whenever the matrix A is symmetric but not in general So if you normalize the eigenvectors your V will satisfy VtV I so then Vt V39l so we don t have to do anything to compute the inverse matrix That is useful for large matrices but it hardly matters for a 2x2 matrix 5 Find the volume ofthe parallelepiped with edges 13 1 0 2 l 1 l 2

×

×

### BOOM! Enjoy Your Free Notes!

We've added these Notes to your profile, click here to view them now.

×

### You're already Subscribed!

Looks like you've already subscribed to StudySoup, you won't need to purchase another subscription to get this material. To access this material simply click 'View Full Document'

## Why people love StudySoup

Bentley McCaw University of Florida

#### "I was shooting for a perfect 4.0 GPA this semester. Having StudySoup as a study aid was critical to helping me achieve my goal...and I nailed it!"

Janice Dongeun University of Washington

#### "I used the money I made selling my notes & study guides to pay for spring break in Olympia, Washington...which was Sweet!"

Bentley McCaw University of Florida

Forbes

#### "Their 'Elite Notetakers' are making over \$1,200/month in sales by creating high quality content that helps their classmates in a time of need."

Become an Elite Notetaker and start selling your notes online!
×

### Refund Policy

#### STUDYSOUP CANCELLATION POLICY

All subscriptions to StudySoup are paid in full at the time of subscribing. To change your credit card information or to cancel your subscription, go to "Edit Settings". All credit card information will be available there. If you should decide to cancel your subscription, it will continue to be valid until the next payment period, as all payments for the current period were made in advance. For special circumstances, please email support@studysoup.com

#### STUDYSOUP REFUND POLICY

StudySoup has more than 1 million course-specific study resources to help students study smarter. If you’re having trouble finding what you’re looking for, our customer support team can help you find what you need! Feel free to contact them here: support@studysoup.com

Recurring Subscriptions: If you have canceled your recurring subscription on the day of renewal and have not downloaded any documents, you may request a refund by submitting an email to support@studysoup.com

Satisfaction Guarantee: If you’re not satisfied with your subscription, you can contact us for further help. Contact must be made within 3 business days of your subscription purchase and your refund request will be subject for review.

Please Note: Refunds can never be provided more than 30 days after the initial purchase date regardless of your activity on the site.