jerri-1-4 - Section 1.4 Inconsistent Systems With 2X2...

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Section 1.4 Inconsistent Systems With 2X2 systems, this occurs when we have parallel lines. With 3X3 systems, this occurs when we have parallel planes. These should be obvious. Specifically, when doing Gauss-Jordan Elimination, we'll get a row of all zeros except for the last number. Example: If the augmented matrix reduces to 1020 0001 0000 the second row says 0x 1 + 0x 2 + 0x 3 = 1. That’s impossible! 0 can’t be 1. This system has no solution i.e. it’s inconsistent.
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Example: 12 24 23 xx += 4 3    21 R R 4 00 1 For the last equation, we get 0 = -1. Obviously this can't happen, so this system
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This note was uploaded on 07/16/2008 for the course MATH 1114 taught by Professor Jhengland during the Fall '08 term at Virginia Tech.

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jerri-1-4 - Section 1.4 Inconsistent Systems With 2X2...

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