If A is a skew-symmetric n n matrix, verify that adj A is symmetric or skew-symmetric

Question:

If A is a skew-symmetric n × n matrix, verify that adj A is symmetric or skew-symmetric according to whether n is odd or even.

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

Step by Step Answer:

Related Book For book-img-for-question

Modern Engineering Mathematics

ISBN: 9781292253497

6th Edition

Authors: Glyn James

See More Books

Question Posted: Jan 11, 2024 09:02 AM

See More Questions

A matrix A is said to be skew symmetric if AT = -A. For example, is skew symmetric since If A is an n Ã n skew symmetric matrix and n is odd, show that A must be singular 0.
Give three (3) strategies on how to lead a team and individuals to develop critical and creative thinking skills.
Rewrite the following Excel formulas as expressions that would appear in a text. a. =2+(4-6)/9*3+2 b. 2+ (4-6)/(9*3)+2 c. =2+ (4-6)/9*(3+2) d. = 2+4-6/9*3+2 a. Choose the correct answer below. O A....
A chilled water cooling coil receives 2.5 m3/s of air at 25 C db, 20 C wb. It is necessary for the air to leave the coil at 13 C db, 12 C wb. Assume sea level pressure. (a) Determine the SHF and the...
Consider the following procedure for choosing moves in games with chance nodes; Generate some die-roll sequences (say, 50) down to a suitable depth (say, 8). With known die rolls, the game tree...
The tensioning mechanism of a belt drive consists of frictionless pulley A, mounting plate B, and spring C. Attached below the mounting plate is slider block D which is free to move in the...
The pump shown in Fig. P5.6 produces a steady flow of $10 \mathrm{gal} / \mathrm{s}$ through the nozzle. Determine the nozzle exit diameter, $D_{2}$, if the exit velocity is to be \(V_{2}=100...
Rasmussen Corporation expects to incur indirect overhead costs of $80,000 per month and direct manufacturing costs of $12 per unit. The expected production activity for the first four months of 2017...
How can natural selection and the concept of adaptive behavior be defined? 2. What are some basic ideas about human development proposed by evolutionary psychology? 3.Briefly discuss the...
Determine whether the following matrices are singular or non-singular and find the inverse of the non-singular matrices.
Verify that if A is a symmetric matrix then so is adj A.
At December 31, 2014, before any year-end adjustments, the Accounts Receivable balance of Wynn Electronics is $360,000. The Allowance for Doubtful Accounts has a $22,500 credit balance. Wynn...
An insurance company is estimating the risk model based on customer age is define as R = ae bx where a is a fixed constant and b is a constant that depends on the customer age. They categorize the...
A collective bargaining negotiation is ________. a) solely a test of power b) solely a presentation and discussion of real issues c) both a test of power and a presentation and discussion of real...
Define provisions, contingent liabilities and contingent assets. State the major requirements of their accounting and disclosure of all the three to conform the needs of accounting standard.
Accrual accounting is superior to cash accounting. Elaborate.
What is journal? State its two broad categories. Name the five special journal.
The Gladys Corporation buys office equipment costing $208,000 on May 12, 2011. In 2014, new and improved models of the equipment make it obsolete, and Gladys sells the old equipment for $34,000 on...
In exchange for land, the company received a 12-month note on January 1. The face amount of the note is $1,000, and the stated rate of interest is 13%, compounded annually. The 13% rate is equal to...
Why isnt the motion of a human being described by the Schrdinger equation rather than Newtons second law if every atom in our body is described by quantum mechanics?
Explain the following statement: If h = 0, it would be possible to measure the position and momentum of a particle exactly and simultaneously.
Why is (p 2 ) rather than p used to calculate the relative uncertainty for the particle in the box?
Explain the matching concept in accounting. Explain how the matching concept needs to be followed when working out gross profit for a retailer in an accounting period
Trial Balance for the financial year (FY) ended 31st March 2022 of M/s Deepakshi shows following details: Particulars Debit (`) Credit (`) Purchase & Sales 10,00,000 12,00,000 Debtors & Creditors...
"We see it particularly displayed in all the subordinate distributions of power, where the constant aim is to divide and arrange the several offices in such a manner as that each may be a check on...

If A is a skew-symmetric n n matrix, verify that adj A is symmetric or skew-symmetric

Question:

Step by Step Answer:

Take the ijth element of A then the cofactor corresponding to this element is th...View the full answer

Modern Engineering Mathematics

Students also viewed these Sciences questions