(a) If I is the 4 4 matrix with every entry 1, show that I -...

Question:

(a) If I is the 4 × 4 matrix with every entry 1, show that I - 1/2 J is self-inverse and symmetric.
(b) If X is n × m and satisfies XTX = lm, show that Im,-2XXT is self-inverse and 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 With Applications

ISBN: 9780070985100

7th Edition

Authors: W. Keith Nicholson

See More Books

Question Posted: Jun 21, 2016 06:27 AM

See More Questions

Find the eigenvalues and eigenvectors of an n x n matrix with every entry equal to 1.
(a) Prove that every real 3 3 matrix has at least one real eigenvalue. (b) Find a real 4 4 matrix with no real eigenvalues. (c) Can you find a real 5 5 matrix with no real eigenvalues?
A small community organization consists of 20 families, of which 4 have one child, 8 have two children, 5 have three children, 2 have four children, and 1 has five children. (a) If one of these...
what would you like to recommend to Australian government in regards to their fiscal stimulus policy for supporting covid affected society?
Describe the purpose of corporate codes of conduct and identify three examples of items addressed in a typical code of conduct.
Jeffs school has a computer laboratory. Jeff also has a computer at home and decides to copy the schools word processing program for his personal use. The program is copyrighted. Is it legal for Jeff...
Assume that $y_{i j}$ are i.i.d and follow a normal distribution with variance $\sigma^{2}$. Under the null hypothesis that a factorial effect 0 , a. Show that \[\frac{\bar{y}_{+}-\bar{y}_{-}}{s / 2}...
The information presented here represents selected data from the December 31, 2010, balance sheets and income statements for the year then ended for three firms: Required: Calculate the missing...
For an option trading in the money, what is the likely impact on e binomial option price as the number of binomial steps is increased?
Richard chooses technique 0 and 2 requiring 10+10-20 efforts and provising 10+11=21 benefits. Hence, 21 is returned as the output Example 2: input1: 3 input2: (10,10,10,10) input3: (10,11,12,15)...
Show that a square matrix A is invertible if and only if it can be left-cancelled: AB = AC implies B = C.
An n Ã n matrix P is called an idempotent if P2 = P. Show that: (a) I is the only invertible idempotent. (b) P is an idempotent if and only if I - 2P is self-inverse. (c) U is self-inverse if...
A global environment requires that managers learn to deal effectively with people and ideas from a variety of cultures. How well-prepared are you to be a global manager? Read the following statements...
What do you find stimulating or exciting in this reading assignment? Summarize the section and explain why you find it stimulating.
What do you find "linkable" in this reading assignment? Something may link up with your previous reading in this class or in others. Perhaps it links up with an experience you've had or a theory...
Business Plan for a Christian Healthcare Organization Signature Assignment Instructions A business plan is a document typically prepared to obtain funding and/or financing. the three major elements...
The concept of Earnings & Profits refers to: Group of answer choices a Subchapter C corporation's economic ability to pay dividends to shareholders. a Subchapter S corporation's economic ability to...
explain the purpose of the business plan and its objectives. Be sure to include the following in your answer: Purpose of the plan Three key elements of the business plan Objectives of a business plan
When recording dividends received from a stock investment accounted for using the equity method, which of the following statements is true? a. Total assets are increased and net income is increased....
Describe the general ways that the revised Form 990, applicable for tax year 2008 and beyond, is different from previous versions.
Show that defines a norm on Rn. llxlloc max l.ril lsisn
Let x and y be vectors in an inner product space. Show that if x y then the distance between x and y is (||x||2 + ||y||2)1/2
Let x Rn. Show that ||x|| < |x||2
Review your own current processes relating to ER and IR within the organisation and identify three issues that can be improved upon.
A group of students working on a collaborative research project needs a centralized space to store and edit their documents. Which Teams feature should they primarily use?
2. What basic criteria would you recommend that K&G set to determine what jobs the company should accept in the future?

(a) If I is the 4 4 matrix with every entry 1, show that I -...

Question:

Step by Step Answer:

b Write U In 2XXT Then U is symmetric b...View the full answer

Linear Algebra With Applications

Students also viewed these Linear Algebra questions