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 xT = [x1 x2] in terms of the new coordinate vector yT = [y1 y2], as in Example 6.
9x12 + 6x1x2 + x22 = 10
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 71% (7 reviews)
The symmetric coefficient matrix is Its eigenvalues are 0 ...View the full answer
Answered By
Mahesh G
I have more than 7 years of experience in teaching physics, mathematics and python programming to more than 600 students including both online and offline tutoring.
I follow the following 7 step fundamental approach towards tutoring.
1. Curiosity, scope, enlightenment of the topic in hand.
2. Problem Definitions and elaboration.
3. Requisite mathematics, analytical abilities and quantitative
aptitude.
4. Preparing Algorithms for problem statement.
5. Concepts with analogies and building algorithm.
6. Introspection and improvising.
7. Daily class wise Cheat sheets(its not cheating) for consolidation.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
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...
-
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...
-
Write the shear and momentfunctions and draw shear and moment diagrams for the following frames: (a) Support A is a roller, B and C are fixed and support C is a pin.
-
Which of the following items describes a weakness of the internal rate-of-return method? a. The internal rate of return is difficult to calculate and requires a financial calculator or spreadsheet...
-
The probability that an individual randomly selected from a particular population has a certain disease is .05. A diagnostic test correctly detects the presence of the disease 98% of the time and...
-
You have collected the following data: If you place these five numbers in a bag and randomly select one, what is the probability the number (X) will be ... a. equal to 6 ? b. less than 11 ? c....
-
The balance in Mesa Companys raw materials inventory account was $45,000 at the beginning of April and $38,000 at the end of April. Raw materials purchased during the month totaled $55,000. Mesa used...
-
Suggest a setup to support both file access as well as block access for a SAN with a suitable diagram also give detailed explanation of how this setup can be used.please explain in detail
-
David Barnes and his fiancée Valerie Shah are visiting Hawaii. At the Hawaiian Cultural Center in Honolulu, they are told that 2 out of a group of 8 people will be randomly picked for a free...
-
Do there exist nondiagonal symmetric 3 x 3 matrices that are orthogonal?
-
Find the matrix A in the linear transformation y = Ax, where x = [x 1 x 2 ] T (x = [x 1 x 2 x 3 ] T ) are Cartesian coordinates. Find the eigenvalues and eigenvectors and explain their geometric...
-
Journalize the following transactions: a. Storeroom issued raw materials costing $7,000. b. Direct labor of $4,400 was charged to production. c. Supplies costing $2,900 were issued by the storeroom....
-
A construction explosion has an intensity / / of 4 . 1 1 4 . 1 1 x 1 0 ^ 3 1 0 - 3 W / / m ^ 2 . ^ 2 . Find the loudness of the sound in decibels if L 1 0 - 1 0 log and 1 0 ^ 1 2 1 0 - 1 2 W / / m ^...
-
A freight car weighing 2 . 5 2 . 5 x 1 0 ^4 1 0 4 kg runs into another freight car of the same weight. The first was moving at 3 4 3 4 m / / s north and the second was at rest. If the cars are...
-
A weight W hangs from two steel cables of equal length attached to each other as shown. The combined length of both cables is 23 m. The cross section of upper cable is 20 mm whereas the cross section...
-
Statement 1: The cash paid for interest will always be greater than interest expense when using effective-interest amortization for a bond. Statement 2: The process of interest-rate approximation is...
-
Investing in a retirement annuity (RA) provides the flexibility to choose your investment partners and tailor investment options with guidance from your financial planner. You control when and how...
-
The V-shaped tank has width w into the paper and is filled from the inlet pipe at volume flow Q. Derive expressions for (a) the rate of change dh/dt and (b) the time required for the surface to rise...
-
In Problem use absolute value on a graphing calculator to find the area between the curve and the x axis over the given interval. Find answers to two decimal places. y = x 3 ln x; 0.1 x 3.1
-
Answer Problem 3.59 if the child does not have asthma? Suppose, alternatively, that if the father is a current smoker, then the probability that the mother is a current smoker is .6; whereas if the...
-
Are the childs asthma status and the fathers smoking status independent? Why or why not? Suppose, alternatively, that if the father is a current smoker, then the probability that the mother is a...
-
Are the childs asthma status and the mothers smoking status independent? Why or why not? Suppose, alternatively, that if the father is a current smoker, then the probability that the mother is a...
-
4 An electron emitter will be used to make a beam of electrons for a microscope. Electrons are emitted from a hot wire and accelerated between an anode and cathode plate which can be approximated to...
-
1. A current of 5.83 A is used to produce the microwave radiation in a microwave oven. If the voltage across the oven is 120V, how much does it cost to run the microwave for 12 minutes if electrical...
-
You've seen the following returns on a stock over the past five years: 6 percent, 12 percent, 20 percent, -6 percent, and 11 percent. Suppose the average inflation rate over this time period was 2.5...
Study smarter with the SolutionInn App