Let T be a positive definite 2 2 matrix. Let En = (Tnx | ||x|| =
Question:
(a) Prove that En is an ellipse.
True or false:
(b) The ellipses En all have the same principal axes.
(c) The semi-axes are given by rn = rn1 sn = sn1.
(d) The areas are given by An = πan where α = A1/π.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (15 reviews)
a This follows from Exercise 8519a using the fact that K T n is ...View the full answer
Answered By
Somshukla Chakraborty
I have a teaching experience of more than 4 years by now in diverse subjects like History,Geography,Political Science,Sociology,Business Enterprise,Economics,Environmental Management etc.I teach students from classes 9-12 and undergraduate students.I boards I handle are IB,IGCSE, state boards,ICSE, CBSE.I am passionate about teaching.Full satisfaction of the students is my main goal.
I have completed my graduation and master's in history from Jadavpur University Kolkata,India in 2012 and I have completed my B.Ed from the same University in 2013. I have taught in a reputed school of Kolkata (subjects-History,Geography,Civics,Political Science) from 2014-2016.I worked as a guest lecturer of history in a college of Kolkata for 2 years teaching students of 1st ,2nd and 3rd year. I taught Ancient and Modern Indian history there.I have taught in another school in Mohali,Punjab teaching students from classes 9-12.Presently I am working as an online tutor with concept tutors,Bangalore,India(Carve Niche Pvt.Ltd.) for the last 1year and also have been appointed as an online history tutor by Course Hero(California,U.S) and Vidyalai.com(Chennai,India).
4.00+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Answer Exercise 10.1.28 when T is an arbitrary nonsingular 2 2 matrix. Use Exercise 8.5.19. In Exercise 10.1.28 Let T be a positive definite 2 2 matrix. Let En = (Tnx | ||x|| = 1], n = 0,...
-
Let S be a positive definite n n matrix. For any x in Rn define ||x|| = (xtSx)1/2. Show that this defines a norm on Rn. [Use the Cholesky factorization of S to show that xtSy = ytSx ...
-
Let A be a positive definite symmetric matrix. Show that there exists an invertible matrix B such that A = BT B. [Hint: Use the Spectral Theorem to write A = QDQT. Then show that D can be factored as...
-
On April 29, 2016, Auk Corporation acquires 100% of the outstanding stock of Amazon Corporation (E & P of $750,000) for $1.2 million. Amazon Corporation has assets with a fair market value of $1.4...
-
Explain how a small business would sell goods on consignment. What should be included in a consignment contract?
-
The arrays price_A and price_B given below contain the price in dollars of two stocks over 10 days. Use MATLAB to determine how many days the price of stock A was above the price of stock B. price_A...
-
A mutual fund has provided investment yield rates for five consecutive years as follows: Determine \(r_{1}\) and \(r_{2}\), the lag 1 and lag 2 autocorrelation coefficients. Determine \(r_{1}\) and...
-
Sandra Lerner and Patricia Holmes were friends. One evening, while applying nail polish to Lerner, Holmes layered a raspberry color over black to produce a new color, which Lerner liked. Later, the...
-
panel = Drawing Panel (160, 160) for i in range (0, 10): panel.draw rectangle (20, 20 + 100 10 * 1, 10 i, 10) Write variations of the above program that draw the figures at the lower right as output....
-
On April 1, 201X, Beth Orth opened Beth's Art Studio. The following transactions occurred in April. 201X Apr. 1 Beth Orth invested $15,000 in the art studio. 1 Paid 2 months' rent in advance, $1,600....
-
Plot the ellipses Ek = {Tk x | ||x|| = 1} for k = I, 2, 3, 4 for the following matrices T. Then determine their principal axes, semi-axes, and areas. Use Exercise 8.5.19. (a) (b) (c) 01 04 1-5 4-5
-
Show that the yearly balances of an account whose interest is compounded monthly satisfy a linear iterative system. How is the effective yearly interest rate determined from the original annual...
-
Show that X62 can be computed with only eight multiplications.
-
What various purposes might there be for accounting? Which purpose does the IASB particularly focus on? (a) Why is the realizable value of a sale on credit sometimes lower than that of a cash sale?...
-
Discuss how Gerstel and Sarkisian argued the importance of social class, as well as ethnicity in the development of family structures, and were challenged to think about the impact of culture and...
-
Can you provide examples of how fiction serves as a vehicle for social critique and cultural commentary, allowing authors to interrogate power dynamics, challenge hegemonic ideologies, and envision...
-
Provide an example of an ethical decision or issue that may arise in your profession. Explain how the code of ethics could be used to provide guidance regarding the decision or issue. End with an...
-
Macys made 2 distributions to shareholders this year: Mar. 15: $120,000 and Sep 15 $80,000. Macys had current E&P of $50,000 and accumulated E&P of $100,000. How will this E&P be allocated to the...
-
What are the parallel implementations of join?
-
Conduct a VRIO analysis by ranking Husson University (in Maine) business school in terms of the following six dimensions relative to the top three rival schools. If you were the dean with a limited...
-
An elastic band is hung on a hook and a mass is hung on the lower end of the band. When the mass is pulled downward and then released, it vibrates vertically. The equation of motion is s = 2 cos t +...
-
A ladder 10 ft long rests against a vertical wall. Let be the angle between the top of the ladder and the wall and let be the distance from the bottom of the ladder to the wall. If the bottom of the...
-
An object with weight W is dragged along a horizontal plane by a force acting along a rope attached to the object. If the rope makes an angle with the plane, then the magnitude of the force is where...
-
There are peer effects, but they differ for the two individuals, u_{1} = x_{1} - x_{1} ^ 2 + beta_{1}*x_{1}*x_{2} with B_{1} = 1 U_{2} = O - x_{2} ^ 2 + beta_{2}*x_{1}*x_{2} with B_{2} = 0 1) Find...
-
How do emerging technologies, such as AI and data analytics, impact the evolution of performance management practices ?
-
The controller for Rainbow Children's Hospital, located in Munich, Germany, estimates that the hospital uses 38 kilowatt-hours of electricity per patient-day, and that the electric rate will be 0.26...
Study smarter with the SolutionInn App