Prove that A = AT is a symmetric n x n matrix if and only if {A
Question:
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (14 reviews)
First if A is symmetric then Av w Av T w ...View the full answer
Answered By
Salmon ouma
I am a graduate of Maseno University, I graduated with a second class honors upper division in Business administration. I have assisted many students with their academic work during my years of tutoring. That has helped me build my experience as an academic writer. I am happy to tell you that many students have benefited from my work as a writer since my work is perfect, precise, and always submitted in due time. I am able to work under very minimal or no supervision at all and be able to beat deadlines.
I have high knowledge of essay writing skills. I am also well conversant with formatting styles such as Harvard, APA, MLA, and Chicago. All that combined with my knowledge in methods of data analysis such as regression analysis, hypothesis analysis, inductive approach, and deductive approach have enabled me to assist several college and university students across the world with their academic work such as essays, thesis writing, term paper, research project, and dissertation. I have managed to help students get their work done in good time due to my dedication to writing.
5.00+
4+ Reviews
16+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Prove that if A is an n n matrix, then A - AT is skew-symmetric.
-
Prove that an n x n symmetric matrix K is positive definite if and only if, for every O v R", the vectors v and K v meet at an acute Euclidean angle: || < 1/2.
-
(a) Show that a symmetric matrix N is negative definite if and only if K = - N is positive definite. (b) Write down two explicit criteria that tell whether or not a 2 x 2 matrix is negative definite....
-
Data was collected for a sample of organic snacks. The amount of sugar (in mg) in each snack is summarized in the histogram below. Frequency 12 -10 8 6 4 2 n = 180 200 220 240 260 280 300 320 amount...
-
What are the universals of organization?
-
On January 2, 2019, P Company, a U.S.-based company, acquired for 2,000,000 francs an 80% interest in SFr Company. On January 2, 2019, SFr Company reported a retained earnings balance of 480,000...
-
Mass transfer from a bubble. Calculate the mass transfer coefficient for the air-water system for bubbles rising at a gas velocity of \(5 \mathrm{~cm} / \mathrm{s}\) in a pool of stagnant liquid. Use...
-
Suppose you are the manager of a California winery. How would you expect the following events to affect the price you receive for a bottle of wine? a. The price of comparable French wines decreases....
-
1. Compute the activity rate for each activity using activity-based costing. 2. Compute overhead cost per unit for each of the two products using activity-based costing. 3. Determine product cost per...
-
Prior to liquidating their partnership, Parker and Xi had capital accounts of $40,000 and $75,000, respectively. Prior to liquidation, the partnership had no cash assets other than what was realized...
-
Let A be any n xn matrix. Prove that the dot product identity v (Aw) = (ATv) w is valid for any vectors v, w Rn.
-
Prove that if (v, w) and v, w are two different inner products on the same vector space V. then their sum (((v, w))) = (v. w) + ((v. w)) defines an inner product on V.
-
Design a DTD for simple English sentences, as described in Special Topic 25.1. Data from special topic 25.1 Special Topic 25.1 Grammars, Parsers, and Compilers Grammars are very important in many...
-
Discuss ways that you can improve an internet-based content system management systems performance in terms of latency, security, data availability, and migration. Your response should list at least...
-
2. In January 2016, the Free Cancer Foundation accepted an endowment of $500,000, the income from which is restricted to promoting research related to recovery from cancer. All gains, whether...
-
Calculate the percentage price change for 4 bonds with different annual coupon rates (5% and 10%) and different maturities (3 years and 10 years), starting with a common 7.5% YTM (with annual...
-
A 55 year old employee, earning $50,000 per year is enrolled in only one 401k plan (a traditional 401k). What is the maximum tax deductible contribution she can make to her 401k in 2022?
-
Discuss the strategic issues, including the revenue flow to the state and the likely player, involved in choosing between those games. Would the strategy differ according to whether the state lottery...
-
Determine the level of measurement for each of the following variables: 1. The number of people in your statistics class 2. The percentage of students who are first-generation college students at...
-
1) Predict the organicproduct formed when BzCl reacts with cyclohexanol. BzCl = benzoylchloride. 2) Provide the majororganic product of the reaction below. 3) Draw the structureof the product formed...
-
The point (,) is the center of mass for the collection of points in Exercise 7. Show that the least squares line must pass through the center of mass. [Use a change of variables z = x - to translate...
-
Let A be an m x n matrix of rank n and let P = A(ATA)-1 AT. (a) Show that Pb - b for every b R(A). Explain this in terms of projections. (b) If b R(A), show that Pb = 0. (c) Give a geometric...
-
If V is an inner product space, show that ||v|| = (v, v) satisfies the first two conditions in the definition of a norm.
-
The Morrit Corporation has $1,200,000 of debt outstanding, and it pays an interest rate of 8% annually. Morrit's annual sales are $6 million, its average tax rate is 25%, and its net profit margin on...
-
As an Investor, if I purchase a Corp Bond with a Coupon rate of 9%, and I am in the 30% tax bracket, effectively what rate will I be earning? Hint: If I purchased a Muni-Bond with an 8% Coupon rate,...
-
How can performance management systems be used to identify and nurture high-potential talent within the organization ?
Study smarter with the SolutionInn App