Discrete Mathematics DeMYSTiFied by Krantz Steven G

Author:Krantz, Steven G. [Krantz, Steven G.]
Language: eng
Format: azw
Publisher: McGraw-Hill Professional
Published: 2008-11-13T16:00:00+00:00

Notice that we were careful in the third row to put a 0 in the second position because the third equation has no y. Likewise we put a 0 in the third position of the fourth row because the fourth equation has no z.

Let us begin by multiplying the first row by 1/2. Thus we have

Now we substract the first row from the second row and the third row (we are performing two operations at once). Thus

Next we add the first row to the last. So

We see now the advantage of working systematically (that is, normalizing the first column first). For now we can add the second row to the fourth row. Therefore

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