Discrete Mathematics Demystified by Steven G. Krantz

Author:Steven G. Krantz
Language: eng
Format: epub
Publisher: McGraw-Hill
Published: 2009-04-19T04:00:00+00:00

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

Now we subtract 1/3 the second row from the third. The result is

The last step is to add three times the third row to the fourth. Hence

We conclude by multiplying each row by a suitable constant so that the lead term is 1. We finally have the augmented matrix

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