Question: Use the spectral factorization to diagonalize the following quadratic forms: (a) x2 - 3xy + 5y2 (b) 3x2 + 4x y + 6y2 (c) x2

Use the spectral factorization to diagonalize the following quadratic forms:
(a) x2 - 3xy + 5y2
(b) 3x2 + 4x y + 6y2
(c) x2 + 8xz + y2 + 6yz + z2
(d) 3/2x2 - xy - xz + y2 + z2
(e) 6x2 - 8xy + 2xz + 6y2 - 2yz + 11z2

Step by Step Solution

★★★★★

3.42 Rating (168 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a 12310x 110y 2 112110x 310y 2 120 3x y 2 1120 x 3y 2 b 715x 25y 2 112 25x 15y 2 ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

952-M-L-A-E (2667).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

Diagonalize these. (a) (b) 1

Diagonalize the following complex matrices: (a) (b) (c) (d) G 1) 0 2 3-1 2:0) 1 0 -i

Diagonalize the following matrices: (a) (b) (c) (d) (e) (f) (g) (h) (i) (j) (22) 3 1 5 2 5 113 310 200 312 833 368 355 503 525 200 1102 1110 0200 1000 0100 1000 0001 0010 0-21 1011 1200 2300

9/14/10 12:27 PM Page 321 Chapter dug84356_ch05a.qxd 5 Factoring The sport of skydiving was born in the 1930s soon after the military began using parachutes as a means of deploying troops. Today,...

answer the following questions with solutions Use special products to find the product of the following: 1. (4x3 + 3) (4x3 - 3) 2. ex - y (x - 3y) 3. (xty - z)3A.) SPECIAL PRODUCTS - A shortcut in...

answer the following with solutions Use special products to find the product of the following: 1. (4x3 + 3) (4x3 - 3) 2. ex - y (x - 3y) 3. (xty - z)3A.) SPECIAL PRODUCTS - A shortcut in multiplying...

answer with complete solution Use special products to find the product of the following: 1. (4x3 + 3) (4x3 - 3) 2. ex - y (x - 3y) 3. (xty - z)3A.) SPECIAL PRODUCTS - A shortcut in multiplying...

9/14/10 12:39 PM Page 381 Chapter dug84356_ch06a.qxd 6 Rational Expressions Advanced technical developments have made sports equipment faster, lighter, and more responsive to the human body. Behind...

Answer appropriately Problem 2. The eigenvalues of the following matrix are 5,0, -1. Find the associated eigenvectors manually, and then use those to find an orthogonal diagonalization. 1 2 A = 2 4 0...

Question: Assignment #3: Independent Samples T test Conduct an Independent Samples T test to answer the questions based on the following scenario. (Assume a nondirectional research hypothesis (two...

What is the difference between an ordinary annuity and an annuity due? Give examples of each.

What three crops provide most human caloric intake?

2 - A stock price is currently $ 4 0 . It is known that at the end of one month it will be either $ 4 2 or $ 3 8 . The risk - free interest rate is 3 % with continuous compounding. A call option...

CHANGES IN DEMANDBABY DIAPERS AND RETIREMENT VILLAGES Other things equal, an increase in the number of buyers for a product or service will increase demand. Baby diapers and retirement villages are...

Exercise 11-8 gave 13 observations on y = green liquor Na2S concentration and x = production in a paper mill. (a) Test for significance of regression using a = 0.05. Find the P-value for this test....

Exercise 11-9 presented data on y = blood pressure rise and x = sound pressure level. (a) Test for significance of regression using a = 0.05. What is the P-value for this test? (b) Estimate the...

Exercise 11-11 presented data on y = chloride concentration in surface streams and x = roadway area. (a) Test the hypothesis H0: B1 = 0 versus H1: B1 = 0 using the analysis of variance procedure with...

Z score Question The following information relates to two companies who belong to same industry. Good Limited ($ 000) Bad Limited ($000), Current Assets 100,000 170,000 Non-Current Assets 600,000...

9. Modelling and evaluation of the pension fund's performance Pension funds commonly maintain a portfolio of stocks as well as a portfolio of bonds. Let MKT represent general stock market conditions...

Use the ordinary annuity focmula shown to the right tis determine the aceumulated anount in the annuty 5900 investud monthly for 30 years at a 6.0% interest rate nonpcumiod menthly The accumalatod...