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

Time Magazine - September 20, 1971 - B.F. Skinner Says: We Can't Afford Freedom

This magazine issue is available for purchase on Ebay by clicking on the link below.

https://www.ebay.com/itm/Time-Magazine-September-20-1971-B-F-Skinner-Says-We-Cant-Afford-Freedom-/302644566788

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

Crimes against humanity exposed and made transparent to millions of people around the world.

The Black Diary: M.I.B, Women in Black, Black-Eyed Children, and Dangerous Books, Nick Redfern; May 28, 2018, Lisa Hagan Books.

To purchase "The Black Diary: M.I.B, Women in Black, Black-Eyed Children, and Dangerous Books," on Amazon, click on the link below.

https://www.amazon.com/Black-Diary-Black-Eyed-Children-Dangerous-ebook/dp/B07DD3P3Z6/ref=sr_1_1?keywords=the+black+diary&qid=1570410029&sr=8-1

Project SERPO Dr Laurel B Tague interviews Len Kasten

Project SERPO Dr Laurel B Tague interviews Len Kasten

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

I found matrix B representing linear map F in the basis S = {u1,u2} = {(1,4),(2,4)}, where F(x,y) = (4x + 5y, 2x - y) -Mark R. Rowe

I found matrix B representing linear map F in the basis S = {u1,u2} = {(1,4),(2,4)}, where F(x,y) = (4x + 5y, 2x - y)

-Mark R. Rowe

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

B.F. Skinner said that "God is dead, and we have killed him." Yeah right.

The Eugenics League, the Margret Sanger Foundation, and the Human Betterment Foundation have been hacked, discovered, found out, exposed, leaked, blogged about, reposted, shared, reported to authorities, bashed, over-posted, and these murderers have been given a different face, and a bad ugly name.

B.F. Skinner was a joke, a criminal of whom lied to many saying that “God is dead, and we have killed him.” His madness is not acceptable to anyone, since B.F. Skinner was the real animal. He was a rat that was controlled in a lab.