Solution-Generate a random vector y

Generate a random vector y

Reference no: EM131555708

Question: In parts (a)-(d), let U be the matrix formed by normalizing each column of the matrix A in Exercise.

a. Compute U^TU and U U^T. How do they differ?

b. Generate a random vector y in R⁸, and compute p = U U^Ty and z = y - p. Explain why p is in Col A. Verify that z is orthogonal to p.

c. Verify that z is orthogonal to each column of U.

d. Notice that y = p + z, with p in Col A. Explain why z is in (Col A)⊥?. (The significance of this decomposition of y will be explained in the next section.)

Exercise: Show that the columns of the matrix A are orthogonal by making an appropriate matrix calculation. State the calculation you use.

Reference no: EM131555708

Questions Cloud

Write report for a jazz music concert experience and feeling : Write a 2 pages for a jazz music concert experience and feeling. Pretending I am in a school Jazz music festival, write 2 pages of what I feel and learn from th

Exploration enhances the advancement of knowledge : Describe 3 ways in which exploration enhances the advancement of knowledge, particularly scientific knowledge.

What is your overall sense of emotion and physical sensation : What is your overall sense of the emotion and physical sensation throughout the scene inside the New York City hotel room that the characters visit?

Framers of the constitution : Compose a 350 word essay describing one of the framers of the constitution. Be sure to include what colony they represented

Generate a random vector y : In parts (a)-(d), let U be the matrix formed by normalizing each column of the matrix A in Exercise.

Progress of events and issues regarding british attempts : Describe and analyze the progress of events and issues regarding British attempts to tax the American colonies.

In what ways are the two settings similar : In what ways are the two settings similar? How are they different? What do you think the author of "In the Ruins" thinks about New Orleans as a place.

Lewis and clark expedition : Which of these were visited by the Lewis and Clark Expedition?

What can teachers teach us about our own stories : What can they teach us about our own stories, our own resistances, our own selves? I sincerely look forward to seeing how each of you respond to the course.

User Account

All Pages

Generate a random vector y

Reference no: EM131555708

Reference no: EM131555708

Questions Cloud

Reviews

Write a Review

Mathematics Questions & Answers

Questions on ferris wheel

Logistic map

Finding the probability of cards

Systems of ode

Derive the boolean expression

System of equations

Linear programming problem

Find the natural domain

Introduction to numerical methods

Chart of the topological manifold

Mathematics in computing

Complex problems

Assured A++ Grade

Academics

Major Subjects

Majors

Get In Touch

TERMS & POLICIES

HELP & SUPPORT