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 Post subject: Question regarding reduced rowPosted: Fri, 28 May 2010 01:38:43 UTC
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Joined: Thu, 2 Apr 2009 04:25:13 UTC
Posts: 91
i have this matrix

3 -4 10
-5 8 -17
-3 12 -12

my first operation ( to put it into reduced row) is to simply divide the first row by three. why can't my second operation be to simply add 5 to the second row? the recommended operation is R2+5R1.

i don't understand why the first row can simply be divided by a number while the second operation must be interns of existing rows.

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 Post subject: Re: Question regarding reduced rowPosted: Fri, 28 May 2010 11:44:43 UTC
 Member of the 'S.O.S. Math' Hall of Fame

Joined: Mon, 19 May 2003 19:55:19 UTC
Posts: 7952
Location: Lexington, MA

Check your notes . . .

Quote:
i have this matrix: .

My first operation (to put it into reduced row) is to simply divide the first row by three.
Why can't my second operation be to simply add 5 to the second row?

You can do anything you want . . . if you don't need the correct answer.

There are only two legal operations:

. . [1] Multiply a row by a nonzero constant (including fractions).

. . [2] Add a multiple of one row to another row.

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