What kind of conic section (or pair of straight lines) is given by the quadratic form Transform it to principal axes Express x T x 1 x 2 in terms of the new coordinate vector y T y 1 y 2 , as in Example 6 4x 1 2 12x 1 x 2 13x 2 2 16 ...

The symmetric coefficient matrix is Its eigenvalues ...

What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform

Question:

What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform it to principal axes. Express x^T= [x₁ x₂] in terms of the new coordinate vector y^T = [y₁ y₂], as in Example 6.

4x₁² + 12x₁x₂ + 13x₂² = 16

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Advanced Engineering Mathematics

ISBN: 978-0470458365

10th edition

Authors: Erwin Kreyszig

See More Books

Question Posted: Nov 27, 2018 04:18 AM

See More Questions

The Force on a bullet is given by the formula F = 580 (1.8 x 10)t over the time interval t = 0 to t = 3.0 x 10-3s. In this formula, t is in seconds and F is in newtons. (a) Plot a graph of F vs f...
The demand curve for peaches is given by the equation Qd = 100 4P, where P is the price of peaches expressed in cents per pound and Qd is the quantity of peaches demanded (expressed in thousands of...
The demand for computer monitors is given by the equation Qd = 700 = P, while the supply is given by the equation Qs = 100 = P. In both equations P denotes the market price. Fill in the following...
Determine all the FIR filters which are specified by the lattice parameters K1 = , K2 = 0.6, K3 = -0.7, and K4 = 1/3
Yummy Candy Company is considering purchasing a second chocolate dipping machine in order to expand their business. The information Yummy has accumulated regarding the new machine is: Cost of the...
The Reviews editor for a certain scientific journal decides whether the review for any particular book should be short (1-2 pages), medium (3-4 pages), or long (5-6 pages). Data on recent reviews...
For each of the following situations, calculate the population standard error of the mean $\sigma \mathrm{X}^{-}$. a. $\sigma=18 ; N=36$ b. $\sigma=9.42 ; N=49$ c. $\sigma=1.87 ; N=60$ d....
Given that tG = -212.7 kJ mol-1 for the reaction in the Daniell cell at 25C, and b (CuS04) = 1.0 x 10-3 mol kg-i and b (ZnS04) = 3.0 x 10-3 mol kg-I, calculate (a) The ionic strengths of the...
Determine the location of your virtual business. Every business needs an address for several reasons, even a virtual business. Determine what those reasons are and why you chose that location. Do not...
Indicate the net effect on assets, liabilities, and owners' equity resulting from each of the following transactions: 1. Capital stock was issued for $100,000 cash. 2. Bonds payable of $25,000 were...
Transform to canonical form (to principal axes). Express [x 1 x 2 ] T in terms of the new variables [y 1 y 2 ] T . 5x 1 2 + 24x 1 x 2 - 5x 2 2 = 0
Transform to canonical form (to principal axes). Express [x 1 x 2 ] T in terms of the new variables [y 1 y 2 ] T .. 9x 1 2 - 6x 1 x 2 + 17x 2 2 = 36
You have two pressure-proof steel cylinders of equal volume, one containing 1.0 kg of CO and the other containing 1.0 kg of acetylene, C 2 H 2 . (a) In which cylinder is the pressure greater at 25C?...
If you invest $100,000 at an annual interest rate of 8.5%, how much will it be worth in 5 years? You want to have $5,000 in 4 years, and the annual interest rate is 5%. How much should you invest...
Last year, a firm budgeted $600,000 of fixed overhead for its plant that manufactures moisturizing cream. The $600,000 was based on a denominator activity level of 40,000 machine hours. There are 0.1...
State either T (true) or F (false) for each of the following statements. Each is worth point. 1. Stock dividends and stock splits never result in the recognition of a liability. 2. When there is a...
Northwood Company reported net sales of $500,000, variable cost of goods sold of $200,000, variable selling and administrative expenses of $85,000, fixed manufacturing costs of $105,000, and fixed...
Which of these amended the Truth in Lending Act, requiring credit and charge card issuers to provide certain disclosures in direct mail, telephone, and other applications and solicitations for...
A shock wave moves down a pipe as shown below. The fluid properties change across the shock, but they are not functions of time. The velocity of the shock is v w . Write the continuity equation and...
Prove that the mean heat capacities C P H and C P S are inherently positive, whether T > T 0 or T < T 0 . Explain why they are well defined for T = T 0 .
Answer Problem 3.48 where only the male sibling is affected? Suppose that in a family with two male siblings, both siblings are affected with a genetically inherited disease. Suppose also that,...
What is the probability of having a low birth-weight infant? Obstetrics The following data are derived from the Monthly Vital Statistics Report (October 1999) issued by the National Center for Health...
Show that the events {length of gestation 31 weeks} and {low birthweight} are not independent? Obstetrics The following data are derived from the Monthly Vital Statistics Report (October 1999)...
How can bash shell scripting improve resource utilization and process management in Unix systems?
A solid sphere that is uniformly positively charged produces an electric field. Assume no other objects are around. What is the magnitude of the electric field a distance r from the center of the...
Why is potential difference important in x - ray production?

What kind of conic section (or pair of straight lines) is given by the quadratic form? Transform

Question:

Step by Step Answer:

The symmetric coefficient matrix is Its eigenvalues ...View the full answer

Advanced Engineering Mathematics

Students also viewed these Mathematics questions