Prove that if A is an n n matrix, then A - AT is skew-symmetric.

Question:

Prove that if A is an n × n matrix, then A - AT is skew-symmetric.

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

Step by Step Answer:

Related Book For book-img-for-question

Linear Algebra A Modern Introduction

ISBN: 978-1285463247

4th edition

Authors: David Poole

See More Books

Question Posted: Apr 15, 2016 06:04 AM

See More Questions

Prove that if A is an m n matrix, there is an invertible matrix C such that CA is in reduced row-echelon form.
Prove that if A is an n ( n matrix, then det(adj A) = [det(A)]n-1.
Let S R be nonempty. Prove that if a number u in R has the properties: (i) for every n N the number u - 1/n is not an upper bound of S, and (ii) for every number n N the number u + 1/n is an upper...
Solve the equation symbolically. Then solve the related inequality. - - x] S | - H =
A parcel delivery company delivered 103,000 packages last year, when its average employment was 84 drivers. This year the rm handled 112,000 deliveries with 96 drivers. What was the percentage change...
Define the Sortino and Omega ratios and discuss their value in assessing ETF performance.
Fill in each of the blanks below with the correct term. 1. A-arises from a past decision and cannot be avoided or changed; it is irrelevant to future decisions. 2. -refer to the incremental revenue...
Record the following transactions of Fashion Park in a general journal. Fashion Park must charge 8 percent sales tax on all sales. DATE TRANSACTIONS 2019 April 2 Sold merchandise for cash, $2,500...
how does Fedexs financial and strategic priorities affect accounting procedures and business decisions? is fedexs management growth oriented or efficiency oriented? what is Fedexs apptoach to risk...
Cadwell manufactures cell phones. The conversion costs to produce cell phones for November are added evenly throughout the process in the Assembly Department. The company uses the weighted-average...
If A and B are skew-symmetric 2 2 matrices, under what conditions is AB skew-symmetric?
(a) Prove that any square matrix A can be written as the sum of a symmetric matrix and a skew symmetric matrix. (b) Illustrate pact (a) for the matrix 369 258 147
Selected condensed data taken from a recent statement of financial position of Morino Ltd. are as follows. What are the (a) working capital, (b) current ratio, and (c) acid-test ratio? Calculate...
Q2 2 Points The time between students pinging professor with questions during an exam is modeled by an exponential random variable X (measured in minutes) with parameter (usual notation) Q2.1 1 Point...
A. Describe what the formula P = M A E represents. B. What happens if one of these factors becomes deficient? C. In terms of performance, identify the four different types of reinforcement. Provide...
1-3.2) K Question 10, 3.1.37 Part 1 of 6 > HW Score: 53.33%, 6.4 of 12 points O Points: 0 of 1 Save Because the mean is very sensitive to extreme values, it is not a resistant measure of center. By...
Research the company and obtain the following information: Mission Statement - Purpose of their existence Goals and objectives (What are they in business for) SWOT analysis for this company Based on...
please write one page for the concept of organizational structure one page paper of factors affecting organizational structure.
Books from a certain publisher contain an average of 1 misprint per page. What is the probability that on at least one page in a 300 page book there are five misprints?
Explain the buyers position in a typical negotiation for a business. Explain the sellers position. What tips would you offer a buyer about to begin negotiating the purchase of a business?
Prove Theorem 4.19. Suppose the n n matrix A has eigenvectors v 1 , v 2 , . . . , v m with corresponding eigenvalues 1 , 2 , . . . , m . If x is a vector in R n that can be expressed as a linear...
Show that A and B are not similar matrices. -5 |A = 3 B = 4 -2 4.
A diagonalization of the matrix A is given in the form P -1 AP = D. List the eigenvalues of A and bases for the corresponding eigenspaces. 2 1 -1 3 -1 -1 2 3 3
Current Attempt in Progress On July 3 1 , 2 0 2 2 , Crane Compary had a cash balance per books of $ 6 , 2 4 5 . 0 0 . The statement from Dakata State Bark on that date showed a balance of $ 7 , 7 9 5...
Cede & Co. expects its EBIT to be $89,000 every year forever. The firm can borrow at 5 percent. Cede currently has no debt, and its cost of equity is 10 percent. If the tax rate is 35 percent, what...
In the Marriott example, one discussion point considered when a firm might use a single hurtle rather than different divisional or business unit rates. When a single rate is used and the divisions...

Prove that if A is an n n matrix, then A - AT is skew-symmetric.

Question:

Step by Step Answer:

We must show that A A T is skew ...View the full answer

Linear Algebra A Modern Introduction

Students also viewed these Linear Algebra questions