Advanced Engineering Mathematics
10th Edition
ISBN: 9780470458365
Author: Erwin Kreyszig
Publisher: Wiley, John & Sons, Incorporated
expand_more
expand_more
format_list_bulleted
Related questions
Question
Please don't provide hand written solution
![QUESTION 12
Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no
cross-product term. Give P and the new quadratic form.
Q(x) = 13 x + 12 x
+5x + 20x 1x 2 + 8x 1x 3 + 12x 2x 3
2-2 17
P= 2 1-2; 25y +4y² + y²
1 2 2
[2/3-2/3 1/3]
P= 2/3 1/3-2/3; 25y + 4y2 + y²
1/3 2/3 2/3]
[-2/3-2/3 1/3]
P= -2/3 1/3-2/3; 5y + 2y2 + y²
1/3-2/3 2/3
[2-2 1
P= 2 1-2 y +4y2 + 25 y
1 2 2](https://content.bartleby.com/qna-images/question/eb8cd65e-f4bf-416e-b275-0e254fa224af/9350ebf3-d2be-431e-a6fc-e06e24ff7e62/hvltmcr_processed.jpeg)
Transcribed Image Text:QUESTION 12
Make a change of variable, x = Py, that transforms the given quadratic form into a quadratic form with no
cross-product term. Give P and the new quadratic form.
Q(x) = 13 x + 12 x
+5x + 20x 1x 2 + 8x 1x 3 + 12x 2x 3
2-2 17
P= 2 1-2; 25y +4y² + y²
1 2 2
[2/3-2/3 1/3]
P= 2/3 1/3-2/3; 25y + 4y2 + y²
1/3 2/3 2/3]
[-2/3-2/3 1/3]
P= -2/3 1/3-2/3; 5y + 2y2 + y²
1/3-2/3 2/3
[2-2 1
P= 2 1-2 y +4y2 + 25 y
1 2 2
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by stepSolved in 4 steps with 70 images
Knowledge Booster
Similar questions
- Cholesterol intake should be limited to 300 milligrams or less each day. Two McDonald's Quarter Pounders and three Burger King Whoppers with cheese contain 520 milligrams of cholesterol. Three Quarter Pounders and one Whopper with exceed the suggested daily intake by 53 milligrams. Determine the cholesterol content in each item.arrow_forwardCan you give another solution? This is not very cleararrow_forwardCan i share my screen and show you a homework problem that I thought I did right but is wrong and I don't know what I've done wrong?arrow_forward
- You are designing a poster which has a border around the printed portion. The border is 2 inches wide on the left and right sides, and 3 inches wide on the top and bottom. The entire poster will be a total of 300 square inches, including the borders and printed portion combined.arrow_forwardShow graphically and explain how large government budget deficits “crowd out” private investmentarrow_forward
arrow_back_ios
arrow_forward_ios
Recommended textbooks for you
- Advanced Engineering MathematicsAdvanced MathISBN:9780470458365Author:Erwin KreyszigPublisher:Wiley, John & Sons, Incorporated
Numerical Methods for EngineersAdvanced MathISBN:9780073397924Author:Steven C. Chapra Dr., Raymond P. CanalePublisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...Advanced MathISBN:9781118141809Author:Nathan KlingbeilPublisher:WILEY 
Mathematics For Machine TechnologyAdvanced MathISBN:9781337798310Author:Peterson, John.Publisher:Cengage Learning,
Advanced Engineering Mathematics
Advanced Math
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Advanced Math
ISBN:9780073397924
Author:Steven C. Chapra Dr., Raymond P. Canale
Publisher:McGraw-Hill Education
Introductory Mathematics for Engineering Applicat...
Advanced Math
ISBN:9781118141809
Author:Nathan Klingbeil
Publisher:WILEY
Mathematics For Machine Technology
Advanced Math
ISBN:9781337798310
Author:Peterson, John.
Publisher:Cengage Learning,