4pgnotes - STEPS IN GAUSSIAN ELIMINATION The steps in...

Info icon This preview shows pages 1–2. Sign up to view the full content.

View Full Document Right Arrow Icon
STEPS IN GAUSSIAN ELIMINATION The steps in Gaussian elimination can be summarized as follows: Stage 1: (Forward Elimination Phase) 1. Search the first column of [ A | b ] from the top to the bottom for the first non-zero entry, and then if necessary, the second column (the case where all the coefficients corresponding to the first variable are zero), and then the third column, and so on. The entry thus found is called the current pivot . 2. Interchange, if necessary, the row containing the current pivot with the first row. 3. Keeping the row containing the pivot (that is, the first row) untouched, subtract appropriate multiples of the first row from all the other rows to obtain all zeroes below the current pivot in its column. 4. Repeat the preceding steps on the submatrix consisting of all those elements which are below and to the right of the current pivot. 5. Stop when no further pivot can be found. Remark : The forward elimination phase of the Gauss elimination method leads to the row echelon form
Image of page 1

Info iconThis preview has intentionally blurred sections. Sign up to view the full version.

View Full Document Right Arrow Icon
Image of page 2
This is the end of the preview. Sign up to access the rest of the document.

{[ snackBarMessage ]}

What students are saying

  • Left Quote Icon

    As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

    Student Picture

    Kiran Temple University Fox School of Business ‘17, Course Hero Intern

  • Left Quote Icon

    I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

    Student Picture

    Dana University of Pennsylvania ‘17, Course Hero Intern

  • Left Quote Icon

    The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

    Student Picture

    Jill Tulane University ‘16, Course Hero Intern