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Unformatted text preview: ± 1-1 / 2 | 1 1 1 | 1 ² , 2a) Underdetermined; inﬁnite solution set, since it is consistent with a free variable. 2b) Underdetermined; no solutions, since it says 0 = 1. 2c) Square; it has one solution (an obvious one), since it is in triangular form. 3) FFFFT; but I gave credit for either answer on the ﬁrst statement. Bonus: The usual method to show something exists, is to give an example. Try to ﬁnd one that is as simple and clear as possible. One good answer is to write out x 1 + x 2 = 1 three times (and explain brieﬂy that it is consistent and overdetermined). I also gave credit for saying that any homogeneous overdetermined system must be consis-tent. But can an overdetermined system be homogeneous ? Of course it can, but giving a speciﬁc example would be slightly clearer. 1...
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This note was uploaded on 12/26/2011 for the course MAS 3105 taught by Professor Julianedwards during the Spring '09 term at FIU.
- Spring '09