Unformatted text preview: a) A 3x4 augmented matrix in RREF must have at least two leading 1’s . b) Gaussian elimination can change an inconsistent system into a consistent one. c) Any two inconsistent 2x5 systems are equivalent. d) An underdetermined system can be inconsistent. e) If AB = AC and A 6 = O (the zero matrix), then B = C . Answer: FFTTF SMALL BONUS: Justify your answer to the last True-False question. Answer: Give a speciﬁc counterexample using 2x2 matrices. There are many possibilities, but A has to be singular. For example, set A = ± 1 ² B = ± 1 ² C = ± 2 ² 1...
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- Spring '09
- Gaussian Elimination, Row echelon form, augmented matrix