Matrix A and vector b are given. I found the orthogonal projection of b onto A, and then I found a least-square solution of Ax = b

For the given matrix A and the given vector b, I found the orthogonal projection of b onto Col A, and then I found a least-squares solution of Ax = b

This is exercise (11) in chapter 6.5 contained within chapter 6; (Orthogonality and Least Squares) in the textbook, "Linear Algebra and it's Applications," David C. Lay; 2003, Pearson Education.

This textbook is currently used for Math-18 (Spring 2020) at the University of California, San Diego.  Math-18 has a required prerequisite course completion with a "C" letter grade or higher--in Vector Calculus.

-Mark R. Rowe

#computing #matrixAlgebra #linearAlgebra #advancedPhysics #quantumPhysics #computeralgebrasystems #mathmodeling #fortran #matlab #pearl #mechanicalengineering #physics #graduateSchoolMath #mathematics #math

The Psychiatric Drugging of Children & Elderly | Jim Gottstein discussing the psychiatric drugging of children and youth and the elderly at his guest lecture at Alaska Pacific University, February 22, 2012

The Psychiatric Drugging of Children & Elderly | Jim Gottstein discussing the psychiatric drugging of children and youth and the elderly at his guest lecture at Alaska Pacific University, February 22, 2012.

at,his,guest,lecture,at,Alaska,Pacific,University,February,22,2012

Jeffrey A. Schaler, Ph.D., Professor of Psychology at American University, Thomas Szasz award recipient | Dr. Jeffrey Schaler describes psychiatry as a pseudo science

Jeffrey A. Schaler, Ph.D., Professor of Psychology.

The following words are from the description of the video shown above.

Dr. Jeffrey Schaler Professor of Psychology describes psychiatry as a pseudo Science. Read comments from Psychiatrists, including the former chairman of the DSM task force admitting that there are no medical tests to confirm mental disorders. Refer to the Citizens Commission on Human Rights website: https://www.cchr.org/

Abuse In Psychiatry: The Truth

Abuse In Psychiatry: The Truth.



The following words are from the description of the video shown above.



Psychiatry: An Industry of Death



Through rare historical and contemporary footage and interviews with more than 160 doctors, attorneys, educators, survivors and experts on the mental health industry and its abuses, this riveting documentary blazes the bright light of truth on the brutal pseudoscience and multi-billion dollar fraud that is psychiatry.
We think you have the right to know the cold, hard facts about psychiatry, its practitioners and the threat they pose to our children. Get the truth—watch this film.
Governments, insurance companies and private individuals pay billions of dollars each year to psychiatrists in pursuit of cures that psychiatrists admit do not exist. Psychiatry's "therapies" have caused millions of deaths.



to, psychiatrists, in, pursuit, of, cures, that, psychiatrists, admit, do, not, exist

Psychiatry's Master Plan for Control

Psychiatry's Master Plan for Control.



The following words are from the description of the video shown above.



Here are actual recordings of a prominent English psychiatrist by the name of Colonel J R Rees addressing the National Council of Mental Hygiene in October 1940 and his colleague G. Brock Chisholm, the co-founder of the World Federation for Mental Health setting the agenda for psychiatry's influence and control of every sector of your life. Today it's becoming more a reality with mental illness being diagnosed for all and any of life's inherent difficulties.

PsychRights' Medicaid Fraud Initiative Against Psychiatric Drugging of Children & Youth

PsychRights' Medicaid Fraud Initiative Against Psychiatric Drugging of Children & Youth.

CCHR Co-Founder Dr. Thomas Szasz, Professor of Psychiatry Emeritus

CCHR Co-Founder Dr. Thomas Szasz, Professor of Psychiatry Emeritus.

Conspiracy? Our Subverted History, Part 4.3 - The Germanic Peoples: The End of the Goths

Conspiracy? Our Subverted History, Part 4.3 - The Germanic Peoples: The End of the Goths.

Mk Ultra Mind Control Cults CIA Michael Aquino Temple of Set

Mk Ultra Mind Control Cults CIA Michael Aquino Temple of Set.

Humanoid Stand ins of World Leaders Dr Peter Beter

Humanoid Stand ins of World Leaders Dr Peter Beter.

illuminati leaks

info on the free and accepted masons

current nwo plans

the latest on the Rothschild family dealings

current events of the CFR

the last move of the Trilateral Commission

videos of nwo protest

nwo canceled plans

tasks abandoned for nwo due to public outcry

the decline of Royal Society influence

Rockefeller fears - nwo not possible to acheive

consideration for the revocation of Jade Helm and Agenda 21

Dr Peter Beter: Russian Robotoids of Replacements of Key American Officials

Dr Peter Beter: Russian Robotoids of Replacements of Key American Officials.

illuminati leaks

info on the free and accepted masons

current nwo plans

the latest on the Rothschild family dealings

current events of the CFR

the last move of the Trilateral Commission

videos of nwo protest

nwo canceled plans

tasks abandoned for nwo due to public outcry

the decline of Royal Society influence

Rockefeller fears - nwo not possible to acheive

consideration for the revocation of Jade Helm and Agenda 21

"Crafting hypnotic spells! - Casebook confessions of a Rogue Hypnotist," author: "Rogue Hypnotist," September 7, 2014.

The following words are from the Amazon description of the book, "Crafting hypnotic spells! - Casebook confessions of a Rogue Hypnotist."

The long awaited book 6, ‘Crafting hypnotic spells!’ in the Rogue Hypnotist series is finally here! All great hypnotists need a word-horde, a spell book to aid them in their efforts! After all what are you going to do once your subject/client etc. is hypnotised? I mean at an advanced level! The Rogue Hypnotist's system of hypnosis is taken a step further so that you can learn his method of crafting hypnotic suggestions which he calls – ‘Directly Indirect’! Case book transcripts of ‘factional’ hypnotherapy client sessions will show you what the real work in the trenches is like and more! You will learn…
1. How to cure a broken heart, a false teeth phobia, marijuana + smoking addiction, weight loss that works and urinary incontinence! Full copyright free scripts provided!
2. The winner’s way to do ‘erotic hypnosis’ and avoid weird potential dangers!
3. The way to market appeals to youth, women and men!
4. The authoritarian hypnotic secrets of Dr. George Estabrooks!
5. The magical yet flexible structure of ANY successful hypnotic session!
6. The power of being able to dissociate and associate clients/subjects at will!
7. Advanced level symbology work with multiple applications: ‘SSC’ – ‘Symbolic Subconscious Communications’!
8. You will easily master advanced level hypnotic utilisation for inductions, therapy and beyond! Exciting never before seen scripts provided!
9. 10 + ways to fend off unwanted persuasion that actually work!
10. Tips on how to start a successful hypnotherapy business on a zero-based budget!
11. Learn how to create ‘hypnotic robots’! And avoid becoming one!!!
12. Hypnosis in religion exposed!
13. Learn the secrets of hypnotic happiness! Generate it in others!
14. Mastery level sports hypnosis gems!
15. Create powerful ‘pleasure spells’ that will spark ‘blissnosis’ in the miserable and make all women orgasm on command!
16. Learn mastery level hypnotic cold reading skills that tap into peoples most deeply felt needs and drives!
17. The 8 step formula for instant hypnosis!
18. How to create cross cultural rapport at will.
19. Hypnotic time distortion in music + the ‘Beyond time’ script!
20. And a special and revealing surprise!!!
Buy today or be left behind by those who have a hypnotist’s spell book all their own! Only greater success awaits you! The truth is – this stuff is EASY! And learning it is fun and funny in the Rogue Hypnotist’s inimitable style!

The book, "Crafting hypnotic spells! - Casebook confessions of a Rogue Hypnotist" is available for purchase on Amazon by clicking on the link below.

http://www.amazon.com/Crafting-hypnotic-spells-confessions-Hypnotist-ebook/dp/B00NF125LI/ref=pd_sim_351_2/147-2354443-1508651?_encoding=UTF8&pd_rd_i=B00NF125LI&pd_rd_r=12b47906-cbfa-401e-9375-8aba912d58de&pd_rd_w=r9Xpo&pd_rd_wg=BSUQU&pf_rd_p=5abf8658-0b5f-405c-b880-a6d1b558d4ea&pf_rd_r=Y7KRBV0FSP0YJ64SFAZ9&psc=1&refRID=Y7KRBV0FSP0YJ64SFAZ9

illuminati leaks

info on the free and accepted masons

current nwo plans

the latest on the Rothschild family dealings

current events of the CFR

the last move of the Trilateral Commission

videos of nwo protest

nwo canceled plans

tasks abandoned for nwo due to public outcry

the decline of Royal Society influence

Rockefeller fears - nwo not possible to acheive

consideration for the revocation of Jade Helm and Agenda 21

Secrets of Cybernetic and Cyber Warfare revealed by multiple authors, (to include revelations about the most modern advancements made to the field) for example, Norbert Wiener, Ph. D., and Robert Duncan, M.B.A., M.S., Ph. D, the most modern author, already made a disclosure of detailed information about T.A.M.I., M.I.N.D., S.A.T.A.N. and Voice of God (neuroweapon) A.I. systems, not only to Jesse Ventura, on Jesse Ventura's television show, Conspiracy Theory, aired on Cable Network television station, Tru TV--but also with disclosure made about these weapon systems (used on civilian populations) found in his Robert Duncan's book, "Project Soulcatcher: Secrets of Cybernetic and Cyber Warfare Revealed."

The following paragraph is from Amazon's description of the book "Secrets of Cybernetic and Cyber Warfare Revealed," by Robert Duncan, M.S., M.B.A., Ph. D.,

"Secrets of Cybernetic and Cyber Warfare Revealed," details the CIA's practices of interrogation and cybernetic mind control in their pursuit to weaponize neuropsychology. It covers the art of bio-communication war. Human beings are complex machines but their inner workings have been deciphered. Mind control and brainwashing have been perfected in the last 60 years. Hacking computers and hacking into individual minds are similar. The 21st century will be known as the age of spiritual machines and soulless men.

"Secrets of Cybernetic and Cyber Warfare Revealed," is available for purchase on Amazon by clicking on the following link below.

https://www.amazon.com/Project-Catcher-Secrets-Cybernetic-Revealed/dp/1452804087/ref=sr_1_1?keywords=cybernetics+and+cyber+warfare+revealed&qid=1570046602&sr=8-1

To learn more about Cybernetics and Cyber Warfare, click here

s

When world government never happened

The Shinar Directive: Preparing the Way for the Son of Perdition's Return, Dr. Michael Lake with Dr. Thomas Horn, edited by Angie Peters, November 30, 2014, Defense Publishing, ISBN-13: 978-0990497431

"The Shinar Directive," is available for purchase on Amazon by clicking on the link below.

https://www.amazon.com/Shinar-Directive-Preparing-Perditions-Return/dp/0990497437/ref=sr_1_fkmr1_1?keywords=shriner+directive+preparing+the+way+for+the+antichrist&qid=1569957781&sr=8-1-fkmr1

Pure evil at its worst. Clear documented evidence of despicable hanis crimes against humanity constitute acts of terror at severe monstorous levels of sadism will be accounted for soon with responsibility taken (for these crimes) dictated by judge in a court of law as the result of bill proposal written by Associate Professor, Tomo Shibata, Ph. D. is currently under review by the California State Legislature verified by article published on Medium.com proved with appropriate Google search

ACCESS DENIED For Reasons Of National Security: Documented Journey From CIA Mind Control Slave To U.S. Government Whistleblower, Cathy O'Brien with Mark Phillips; August 8, 2004, Reality Marketing; Second Edition edition, ISBN-13: 978-0966016536

"ACCESS DENIED For Reasons Of National Security," is available for purchase on Amazon by clicking on the link below.

https://www.amazon.com/Access-Denied-Reasons-National-Security/dp/096601653X/ref=sr_1_1?keywords=from+mind+controlled+slave+to+government+whistleblower&qid=1569955518&sr=8-1

From, CIA, Mind, Control, Slave, To, U, S, Government, Whistleblower, Cathy, OBrien, Mark, Phillips, 2004

This book defines the reality of this pure evil, giving clear documented evidence provided verification of these despicable heinous acts of terror do not remain in secrecy, but were made ultra-bright transparent, with broadcasts sent all around the world to more than 250 nations' citizens, observed by 100's of millions of people, with an observation occurrence made to the reality of crimes, measured on a microsecond scale.

Satanic Ritual Abuse: Principles of Treatment, Colin A. Ross, MD; October 2, 1995, University of Toronto Press, Scholarly Publishing Division; 2nd ed. edition, ISBN-13: 978-0802073570

Colin A. Ross, M.D. received his degree from the University of Alberta in 1981 and his psychiatry training at the University of Manitoba in 1985. Dr. Ross is an internationally renowned clinician, researcher, author and lecturer in the field of traumatic stress and trauma related disorders. He is the founder and President of The Colin A. Ross Institute for Psychological Trauma. Besides his work at UBH Hospital in Denton, Texas, Dr. Ross consults to Trauma Programs at Forest View Hospital in Grand Rapids, Michigan and Del Amo Hospital in Torrance California. He has authored over 200 professional papers and 28 books.

"Satanic Ritual Abuse: Principles of Treatment," by Colin A. Ross, MD is available for purchase on Amazon by clicking on the link below.

https://www.amazon.com/Satanic-Ritual-Abuse-Principles-Treatment/dp/0802073573/ref=sr_1_1?keywords=satanic+ritual+abuse&qid=1569951550&sr=8-1

Neuroethics: Addressing the Good, Bad and the Ugly - Application of Neuroscience

Neuroethics: Addressing the Good, Bad and the Ugly - Application of Neuroscience.

Brain Science from Bench to Battlefield: The Realities – and Risks – of Neuroweapons | CGSR Seminar

Brain Science from Bench to Battlefield: The Realities – and Risks – of Neuroweapons | CGSR Seminar.

The Global Government of Antichrist, Serge Monast; December 6, 2014, Hades éditions; 7 edition

This volume is the result as well as the culmination of fifteen years of investigation in the world of the Illuminati, the United Nations World Government, the Universal Conspiracy of the Age of Aquarius, and Political circles, Economic, Military and International Medical. The investigations, compilations of documents and the drafting of this book were conducted in a rigorously scientific manner in order to constitute a report of journalistic investigation. This volume is therefore not a religious or spiritual conception of past, present and future events. This volume, on the contrary, is the follow-up of an inquiry based only on facts, and on the reality of various historical and present situations. Consequently, the spiritual or religious facts that emerge from it are by no means voluntary, but rather the fruit, the direct but obvious consequence of the analysis and synthesis of all the documents examined. Plan: - Abolition of all National Governments; - Abolition of all inheritance, all heritage; - The abolition of private property; - the abolition of patriotism; - The abolition of the single-family house, and family life as a cell from which all civilizations come; Abolition of all established and existing religions, so that the Luciferian ideology of totalitarianism can be imposed on all humanity.

This book is available for purchase on Amazon by clicking on the link below.

https://www.amazon.com/Gouvernement-Mondial-lAnt%C3%A9christ-French-ebook/dp/B00QP4PIMK/ref=sr_1_8?keywords=serge+monast&qid=1568359632&sr=8-8

Statue Shows Christ With Head Shaped Like Snake In the center of the stage taking pride of place is a statue of Christ who is said to be rising from the atomic apocalypse. The statue was placed there in 1977, and there is something very unusual about the head of Christ. It is difficult to see when looking at the statue from the front, but from the sides, it looks like the head of Jesus is a snake. If there was only one side of the head that gave the impression of a snake it could be called nothing more than a coincidence, however, it looks like it from different angles, and this is something that cannot be ignored. The statue must have been designed to look that way and it the planning and thought behind it would have been immense. There is also an obvious reason for the imagery. The big question is why would a building be constructed in such a way that suggests the Pope is taking out of the mouth of a snake? There are seven different pieces that make up the snake or reptile symbol, if it were just one or two, then skepticism would have a place, but all seven of the pieces fit together perfectly and tell us that the design was intentional to look like a snake. So why does the symbolism of a snake exist?

Audience Hall Of Pope Linked With Deep State

Research has revealed that there is a Deep State that governs the world. This is a group that is made up of people that are beyond national identity, and they have control over the whole of the world. It has been said for a long time that extra-terrestrial influence has played a part. However, this is not all aliens, just the reptilian race. The reptilians have worked to influence planet Earth.

Now, this might sound very out there to many people, but there is actual evidence for the reality of aliens than people could imagine. There is a great deal of evidence that a Deep State has control over things. So it might be possible that the two realities are linked together, and the reptilian race could be working with the governments.

Reptilian Alien Race Influence Deep State

Government officials have stated that they know about aliens, even though they haven’t revealed it publicly. The Defense Minister of Canada, Paul Hellyer, said that they did an investigation for three years and decided with certainty that four different species of aliens have been visiting Earth and they have done for many years.

The government’s knowledge about aliens is immense, and there have been whistle-blowers who have revealed this fact many times. The reptilian influence over the theory of the Deep State is not something that is new as it can be found in many cultures and traditions. David Ike has popularized it and been ridiculed for it, but there are millions who believe in his work.

But why is the symbolism used in the Audience Hall of the Pope? David Wilcock, a long-time occult researcher, said in an interview that the Illuminati or Elite must convey their true intentions to humanity. This is something that manifests itself during mass sporting events and in many symbolism found in society along with various industries such as music and film.

The Pope Speaks Out Of The Mouth Of A Snake

When you start to think about what the design of the Audience Hall of the Pope is saying, it is clear that the Pope is talking from the mouth of a snake. He stands in front of that mouth and talks the words of the Elite to those who listen. The Elite are telling us through symbolism that this is what is happening.

Many researchers have told us that Christianity and other religions control the masses. Religious stories are said to have some truth and convey messages that are helpful, but the overall purpose of them is to lead people into relationships with a spirit that dis-empowers religion is designed to take away power and control people.

Whether you believe this or not there is no denying that the Audience Hall of the Pope has the design of a snake head and the Pope stands at the front and center when delivering his talks.