Find a formula for the dimension of the vector space of skew-symmetric n n matrices.

Question:

Find a formula for the dimension of the vector space of skew-symmetric n × n matrices.

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 06:26 AM

See More Questions

Find a formula for the dimension of the vector space of symmetric n n matrices.
Find a formula for Dnx (1/x).
Find a formula for the distance between the points with polar coordinates (1, 1) and (2, 2)
Using the displacement formulation given in Section 9.3.2, use standard separation of variables to solve the torsion problem of a rectangular section shown in Fig. 9.12. Verify your solution with...
Union Electric sold $5,000,000, 5%, 10-year bonds on January 1, 2014. The bonds were dated January 1 and pay interest on January 1. The bonds were sold at 103. Instructions (a) Prepare the journal...
Moura Industries Inc. manufactures recreational vehicles. Moura uses a job order cost system. The time tickets from August jobs are summarized below. Job 410 $3,400 Job 411 1,700 Job 412 1,400 Job...
Show that the average residual is zero, that is, show that $n^{-1} \sum_{i=1}^{n} e_{i}=0$.
Vista Electronics, Inc. manufactures two different types of coils used in electric motors. In the fall of the current year, Erica Becker, the controller, compiled the following data. ¢ Sales...
Given the information answer the question below. Plant & machinery (at cost) Provision for depreciation of plant & machinery at 1 October Year 6 Bad debts (written off) 160,000 64,000 Sales 325...
As someone who came of age in the "post e-mail" world of blogs, wikis, social networks, and other Web 2.0 technologies, you were rather disappointed to find your new employer solidly stuck in the age...
In Exercises 1-3, find the dimension of the vector space V and give a basis for V. 1. V = {P(x) in P2: p(0) = 0} 2. V = {p(x) in P2: p(1) = 0} 3. V = {p(x) in P2: xp'(x) = p(x)}
Let U and W be subspaces of a finite-dimensional vector space V. Prove Grassmann's Identity: dim ( U + W) = dim U + dim W - dim( U W)
Let be the function shown in Figure 28. Sketch the graphs of y = (x) and y = (x). 3 2 1 0 y 1 2 3 FIGURE 28 4 -X
Pick any technological object you use frequently: how would your life be different if the object didn't exist?
How well are you prepared to be a facilitator of technical communication and knowledge (as described above), learning from audiences and helping them learn from each other, in addition to or instead...
Look at the seven grouping techniques presented in figure 16.3. Think of a topic in technical communication that could be organized in various ways. Choose two of the grouping techniques and describe...
Our research suggested that knowing your audience is one of the most important things in technical communication. What are some possible approaches to learning about audience? What can you do when...
Reflect on this claim by answering the questions following the claim: "Knowing how to evaluate an artifact so that it achieves the purpose of having audiences go along and act effectively on it is a...
It has been suggested that Given national characteristics it will be impossible to ensure that financial statements that comply with IFRSs will ever be comparable. Discuss whether auditors can make...
Suppose that the electrical potential at the point (x, y, z) is E(x, y, z) = x + y - 2z. What is the direction of the acceleration at the point (1,3,2)?
Solve the recurrence relation with the given initial conditions. b 0 = 0, b 1 = 1, b n = 2b n-1 + 2b n-2 for n 2
The recurrence relation in Exercise 45. Show that your solution agrees with the answer to Exercise 45. Data From Exercise 45 y 0 = 0, y 1 = 1, y n = y n-1 - y n-2 for n 2
Complete the proof of Theorem 4.38(a) by showing that if the recurrence relation x n = ax n-1 + bx n-2 has distinct eigenvalues 1 2 , then the solution will be of the form x n = c 1 n 1 + c 2 n 2
tableau: Consider solving a minimization linear program in standard form with current T1 x2 X3 x4 X5 27 W 0 1 0 r 1 0 3 2 0 0 1 -2 2 S -1 3 1 0 0 0 -1 2 1 2 = 0 0 0 0 t -3 u V The bold-red letter...
Calculate 3 different investment options for your client, while only changing the Monthly Payment (P) amount. The interest rate will be fixed at 6%, and the time will be fixed at 20 years. 1) How...
What are the current healthcare financing models in Argentina and what is the current state of health financing? How is money accumulated (ie. tax-based? employer-based? etc.)? What are the payment...

Find a formula for the dimension of the vector space of skew-symmetric n n matrices.

Question:

Step by Step Answer:

Dim M nn n 2 For skewsymmetric matrices we have a ij a ji Therefore ...View the full answer

Linear Algebra A Modern Introduction

Students also viewed these Linear Algebra questions