Let A be an n n skew symmetric matrix and x an n-vector. Show that xT

Question:

Let A be an n × n skew symmetric matrix and x an n-vector. Show that xT Ax = 0 for all x in Rn.

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

Step by Step Answer:

Related Book For book-img-for-question

Elementary Linear Algebra with Applications

ISBN: 978-0132296540

9th edition

Authors: Bernard Kolman, David Hill

See More Books

Question Posted: Jun 21, 2016 06:59 AM

See More Questions

Let A be an n n matrix and x Rn. (a) A scalar c can also be considered as a l l matrix C = (c), and a vector be Rn can be considered as an n 1 matrix B. Although the matrix multiplication CB is...
Let A be an n n matrix and let D be a n n diagonal matrix. (a) Show that D = (d11e1, d22e2,..., dnnen). (b) Show that AD = (d11a1, d22a2, dnnan).
Let A be an n n matrix with distinct real eigenvalues 1,2 . . . . n. Let be a scalar that is not an eigenvalue of A and let B = (A - I)-1. Show that (a) The scalars j = l/(j - ), j = 1,... ,n are...
What is the VaR Controversy? Define and discuss Value-at-Risk. How is VaR used to limit risk? How does the Monte Carlo Approach operate? What are some of the pros and cons of the different...
Melinda Sholer has spent the past few weeks determining inventory costs for Toco, a toy manufacturer located near Taos, New Mexico. She knows that the annual demand will be 20,000 units per year and...
East Company leased a new machine from North Company on May 1, 20X1, under a lease with the following information: Lease term...
Raster Imaging Company has a new management team that has developed an operating plan to improve upon last year's ROE. The new plan would place the debt ratio at 55 percent, which will result in...
A group of fraud examiners is coordinating an investigation at a local law firm. Several lawyers at the firm are suspected of overbilling clients, possibly creating fake client accounts, and then...
On December 31, 2022 Pack-and-Deliver Company completed its first year of operations. The following information has been provided for the year: a. Sold packing supplies for $30,400 and provided...
What is the value to you of a 9 percent coupon bond with a par value of $10,000 that matures in 10 years if you require a 7 percent return? Use semiannual compounding.
Prove that every symmetric upper (or lower) triangular matrix is diagonal.
Let A be an upper triangular matrix. Show that A is non-singular if and only if all the entries on the main diagonal of A are nonzero.
Using your answers to exercise S4-14, show how the Assiniboine Credit Union will report the following: a. Whatever needs to be reported on the bank's classified balance sheet at December 31, 2016....
What is the current ratio for the construction and mining equipment industry? What is the debt/asset ratio of the construction and mining equipment industry? What is the EBITDA/Interest ratio of the...
Explain how you would rank the 5 C's of credit analysis in order of importance and explain your rankings? Character - The biggest thing is credibilty and banks knowing that the loan will be repaid....
Erica purchased a franchise agreement to distribute electronic gadgets for 6 years. The agreement cost $2,000,000 and he had to make investments of $825,000 for the first 2 years to set up his...
Erica purchased a franchise agreement to distribute electronic gadgets for 6 years. The agreement cost $2,000,000 and he had to make investments of $825,000 for the first 2 years to set up his...
The risk free rate is currently 2% and the required return on the market portfolio is 8%.If a specific stock is estimated to have a CAPM beta coefficient of 1.2 and the $2.00 per share dividend paid...
Refer to the information in QS 20-10. Prepare the November 30 journal entry to record the transfer of costs from the Assembly department to the Painting department. Use the FIFO method. Data From QS...
Find the market equilibrium point for the following demand and supply functions. Demand: 2p = - q + 56 Supply: 3p - q = 34
Let M22 have the inner product in Example 7. Find d(A, B). 1 4 2
Let the vector space P2 have the inner product (a) Find ||p|| for p = 1, = p = x2. (b) Find d(p, q) if p = 1 and q = x. p(x)a(x)dx -1
Let p = p(x) and q = q(x) be polynomials in p2. Show that is an inner product on p2. Is this an inner product on P3? Explain. (P, a) = p(0)q(0) +pa)+ p(1)q(1)
es Tech Solutions computes its predetermined overhead rate annually on the basis of direct labor-hours. At the beginning of the year, it estimated that 100,000 direct labor-hours would be required...
On June 30, Sharper Corporation's stockholders' equity section of its balance sheet appears as follows before any stock dividend or split. Sharper declares and immediately distributes a 50% stock...
Hubs Sprockets Direct Labor-Hours per Unit Annual Production 0.50 29,000 units 0.10 57,000 units Additional Information about the company follows: a. Hubs require $27 in direct materials per unit,...

Let A be an n n skew symmetric matrix and x an n-vector. Show that xT

Question:

Step by Step Answer:

If A is skew symmetric then A T A Note tha...View the full answer

Elementary Linear Algebra with Applications

Students also viewed these Linear Algebra questions