User Account

All Pages

Show that the standard matrix of t is an orthogonal matrix

Assignment Help Mathematics
Reference no: EM131555760

Question: Let T : Rn → Rn be a linear transformation that preserves lengths; that is , ||T (x)|| = ||x|| for all x in Rn.

a. Show that T also preserves orthogonality; that is T(x). T(y) = 0 whenever x.y = 0.

b. Show that the standard matrix of T is an orthogonal matrix.

Reference no: EM131555760

Questions Cloud

Discus the rayleigh quotient : Consider the problem of finding an eigenvalue of an n X n matrix A when an approximate eigenvector v is known. Since v is not exactly correct.
Europe as a result of the black death : What changes in social customs and attitudes came about in Europe as a result of the Black Death?
Discuss three distinct elements of domestic policy : Discuss three distinct elements of domestic policy during the Woodrow Wilson presidential administration and three distinct elements
Describe the development of the ecumenical movement : The Dogmatic Constitution on the Church in the Modern World. Describe the development of the ecumenical movement, and the significance of these efforts today.
Show that the standard matrix of t is an orthogonal matrix : Let T : Rn ? Rn be a linear transformation that preserves lengths; that is , ||T (x)|| = ||x|| for all x in Rn.
Summarize the features of objective methods of personality : Define the term objective in objective methods of personality assessment.Summarize the features of objective methods of personality assessment.
How globalization breeds racism : Writing a thesis/ central argument about: How globalization breeds racism
What homeland security programs is trump proposing : What homeland security programs is Trump proposing to cut to pay for the wall? Is Secretary Chertoff right or wrong in his criticism, and why?
What are your thoughts on lyndon johnson : Lyndon Johnson had a central goal of his "Great Society", What are your thoughts on Lyndon Johnson and having a great society

Reviews

Write a Review

Mathematics Questions & Answers

  Antifreeze to get the desired strength

How many liters of this should be drained and replaced with 100% antifreeze to get the desired strength?

  What you want to know about probability problems

What you need to know about Probability problems Two students, Jen and John, are registered for the same class and attend independently to each other

  How many bicycles must be produced each day for the average

how many bicycles must be produced each day for the average cost to be no more than $100?

  What is the time rate of change of the pressure

At a certain instant, p = 4200 kPa, v = 75 cu cm, and the volume is increasing at a rate of 850 cu cm/s. What is the time rate of change of the pressure at this instant?

  Various ways of ordering the letters

Consider various ways of ordering the letters in the word MISSISSIPPI: IIMSSPISSIP, ISSSPMIIPIS, PIMISSSSIIP, and so on. How many distinguishable orderings are there?

  How much labor and capital are needed in order

Formulate an optimization problem that will determine how much labor and capital are needed in order to produce 50,000 tons of steel at minimum cost

  Probability histogram of the chi-squared statistic

Consider drawing 7 cards at random with replacment from a standard deck of playing cards. For this problem, consider Aces to be face cards, not numbered cards. Which of the following sets of variables have a multinomial joint distribution? (select..

  Magnuson-moss warranty act

Briefly discuss the Magnuson-Moss Warranty Act of 1975 and why it is so important for consumers. Also, give an example of a situation which you have encountered which might have turned out significantly different if it had not been for the provisi..

  What is the new water level in the cylinder

A 65.0 silver object and a 70.0 gold object are both added to 45.5 of water contained in a graduated cylinder. What is the new water level in the cylinder?

  Volume of solid and area of region

Let R be the shaded region bounded by the graphs of y=sqaure root of x, and y=e to the power of -3x, and the vertical line x=1.

  Example of the failure of governance

This week, let's look at an infamous example of the failure of governance -- the Volkswagen "pollution test firmware hack" that made the news in 2015.

  How to find the maximum error of estimate

Given a level of confidence of 99% and a population standard deviation of 4, what other information is necessary: (A) To find the Maximum Error of Estimate (E)?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

Submit Assignment

Academics

Major Subjects

Majors

Get In Touch

whatsapp: +1-415-670-9521

Phone: +1-415-670-9521

Email: [email protected]

TERMS & POLICIES

HELP & SUPPORT

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd