Return to problems it is important to note that the

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Unformatted text preview: ve. 1. Interchange Two Rows. With this operation we will interchange all the entries in row i and row j. The notation we’ll use here is Ri « R j . Here is an example. 3 7ù é 1 -2 é -3 2 -2 -10 ù ê2 ú R1 « R3 ê 2 11 4ú 11 4ú ê ê ú ® ê -3 2 -2 -10 ú ê 1 -2 3 7ú ë û ë û So, we do exactly what the operation says. Every entry in the third row moves up to the first row and every entry in the first row moves down to the third row. Make sure that you move all the entries. One of the more common mistakes is to forget to move one or more entries. © 2007 Paul Dawkins 326 College Algebra 2. Multiply a Row by a Constant. In this operation we will multiply row i by a constant c and the notation will use here is cRi . Note that we can also divide a row by a constant 1 Ri . Here is an example. c 3 7ù é 1 -2 é 1 -2 3 7 ù ê2 ú -4 R3 ê 2 11 4ú 1 1 4ú ê ê ú ® ê -3 2 -2 -10 ú ê12 -8 8 40 ú ë û ë û using the notation So, when we say we will multiply a row by a constant this really means that we will multiply every entry in that row by the constant. Watch out for signs in this operation and make sure that you multiply every entry....
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This note was uploaded on 06/06/2012 for the course ICT 4 taught by Professor Mrvinh during the Spring '12 term at Hanoi University of Technology.

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