Row Operations

We assume that you are familiar with the definitions of these operations and thus shall focus on the notation we use and the user interface we provide for them:

  1. Interchange of rows, nicknaped exchangy and denoted by <=>. Hence

    R2 <=> R3

    represent the operation involving the interchange of row 2 and row 3.

  2. Multiplication of a row by a non-zero scalar, nicknamed timy and denoted by - well, nothing! For example,

    R'2 = (3/2)R2

    represents the operation involving multiplcation of each element of row 2 by (3/2).

  3. Addition of a multiple of one row to another row, nicknamed addy and denoted by the familiar expression

    R'j = Rj + lRk.

    For example,

    R'2 = R2 + (-3/2)R3

    represents the operation involving adding (-3/2) time row 3 to row 2.

  4. The beloved pivot operation which comprises two of the above operations: the pivot row is divided by the pivot element. Then the new pivot row is multiplied by the elements of the pivot columns and subtracted from the respective rows. This transforms the column pivot into an elementary column. There is no standard notation fot this operation.



The Standard Disclaimer

  1. This is a preliminary alpha version of The RowopS Machine. It was developed for use with Netscape's Navigator version 4.5. It is almost certain that it will not work well with other browsers.

  2. The system is based on the conventions and regulations of 620-261: introduction to Operations Research which are similar but definitely not identical to conventions used in first year subjects in mathematics, eg. 620-141 and 620-161.

  3. The current version has no error trapping facilities whasoever so it should not take you more than a second or so to crash it. You are welcome to do this if this is want you want to do.

  4. Only very limited on-line help is provided at present. If you attended the lecture and stayed awake most of the time you should be able to figure out how to use in no time.

  5. The input should be fill-in strictly as fractions (eg. 3/2). Do not input decimal numbers.

  6. Beware of Netscape's Resize Syndrom. Should you resize the window of your Netscape Navigators window, you'll loose the material on your screen, and a fresh copy of the calling page will be loaded. If the tableau is larger than your screen, use the scrolling facilities. In short, don't resize window in the middle of your session.

Have a great time !