Let A be a square matrix and P a permutation matrix of the same size. (a) Explain
Question:
(a) Explain why the product APT has the effect of applying the permutation defined by P to the columns of A.
(b) Explain the effect of multiplying PAPT.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 64% (14 reviews)
a Note that AP T T P A T which permutes the rows of AT which are the colu...View the full answer
Answered By
Pharashram rai
i am highly creative, resourceful and dedicated freelancer an excellent record of successful classroom presentations and writing . I have more than 4 years experience in tutoring students especially by using my note making strategies and engineering field . Especially adept at teaching methods of maths and writing , and flexible teaching style with the willingness to work beyond the call of duty. Committed to ongoing professional development and spreading the knowledge within myself to the blooming ones to make them fly with .
4.80+
65+ Reviews
270+ Question Solved
Related Book For
Question Posted:
Students also viewed these Linear Algebra questions
-
Let P be the 3 3 permutation matrix such that the product PA permutes the first and third rows of the 3 3 matrix A. (a) Write down P. (b) True or false: The product AP is obtained by permuting the...
-
A state commission has been appointed to try to reduce crime. Commission analysts Philip Joseph and Rachel Maria have assembled data for 400 randomly selected cities. These data include whether...
-
The favorite movie genres of students in one of the authors statistics classes are shown in Table 31. a. Use technology with seed 43 to randomly select 6 students without replacement. b. For the...
-
What is the importance of collecting and interpreting data and information about competitors? What practices should a firm use to gather competitor intelligence and why?
-
People in a particular South American country have high power distance and high collectivism. What does this mean, and what are the implications of this information when you (a senior executive)...
-
Final averages are typically approximately normally distributed with a mean of 72 and a standard deviation of 12.5. Your professor says that the top 8% of the class will receive an A; the next 20%, a...
-
An online magazine finds that the mean number of typographical errors per page is five. Find the probability that the number of typographical errors found on any given page is (a) exactly five, (b)...
-
Bullseye Corporation, headquartered in the United States, operates retail stores that offer clothing, household products, electronic products, sports products, toys, and entertainment products at...
-
How does TPM intersect with Lean Manufacturing principles? Discuss the synergies between TPM and Lean practices, such as continuous improvement (Kaizen) and value stream mapping, in reducing waste...
-
To clarify the results of the preceding problem, we look at a simpler example. a. Compute the arithmetic mean value for each system using X as the reference machine and then using Y as the reference...
-
(a) Explain why the inverse of a permutation matrix equals its transpose: P-1 = PT. (b) If A-1 = AT, is A necessarily a permutation matrix?
-
Let v, w be n à 1 column vectors. (a) Prove that in most cases the inverse of the /; x n matrix A = I - vwT has the form A-1 = I- cvwT for some scalar c. Find all v, w for which such a result...
-
Identify a key position that you intend to make during your presentation. Using Table 14.2 as a guide, write out how you could use the PREP (PositionReasonsExamplePosition) method to effectively...
-
Mexicos real GDP was 18,163 billion pesos in 2017 and 18,526 billion pesos in 2018. Mexicos population was 123.5 million in 2017 and 124.7 million in 2018. Calculate: a. The growth rate of real GDP....
-
Which sections of the antitrust laws might have been violated by Apotex and other generic drugs producers? Apotex was fined $24.1 million for working with other drug companies to inflate the price of...
-
Why Is Indias Labor Productivity Growth Faltering? Indias labor productivity grew by more than 14 percent a year between 2004 and 2008. But between 2016 and 2018, labor productivity grew by only 3.7...
-
Explain how Gannetts outsourcing to India will change U.S. GDP. Gannett (the largest U.S. newspaper publisher by daily circulation) is outsourcing 485 jobs to India.
-
If the price of a milkshake rises, explain how: a. The marginal product and the value of marginal product of labor change. b. Kaisers Ice Cream Parlors demand for labor changes. Will Kaisers hire...
-
Can partitioned join be used for r r.A s? Explain your answer
-
The process of collaborative goal setting by a manager and subordinate, the extent to which goals are accomplished is a major factor in evaluating and rewarding the subordinate's performance. It is...
-
Construct a 3 ( 3 nonzero matrix A such that the vector 1
-
Given Find one nontrivial solution of Ax = 0 by inspection. [Think of the equation Ax = 0 written as a vector equation.] A=1721 -2-6
-
Construct a 2 ( 2 matrix A such that the solution set of the equation Ax = 0 is the line in through (4, 1) and the origin. Then, find a vector b insuch that the solution set of ax = b is not a line...
-
Identify an area of Financial Services where you feel significant opportunities lie in relation to process management. Why do you feel this?
-
1. Given the functions f(x) = x + 1 and g(x) = 3-x, determine an equation for the combined function y = f(x)+ g(x). 2. If f= {(-7, 1), (-5, 8), (3, 11), (5,-1)) and g = {(-6, 4), (-5, 3), (-1, 7),...
-
What is urban economics and what components of a city usually results in higher demand of a city's real estate. Describe at least three
Study smarter with the SolutionInn App