Unformatted text preview: x 14 x 2 = 1 , 2 x 1x 2 =3, andx 13 x 2 = 4 all intersect in a single point? 4. Despite what the above examples may lead you to believe, there is no reason why a system of equations in n variables has to have n equations. For each of the following situations, either come up with an example that demonstrates it, or explain why no such example can exist: (a) A system of 3 equations in 2 unknowns with no solutions (b) A system of 3 equations in 2 unknowns with exactly 1 solution (c) A system of 3 equations in 2 unknowns with inﬁnitely many solutions (d) A system of 2 equations in 3 unknowns with no solutions (e) A system of 2 equations in 3 unknowns with exactly 1 solution (f) A system of 2 equations in 3 unknowns with inﬁnitely many solutions...
View
Full
Document
This note was uploaded on 11/19/2010 for the course LECTURE 1 taught by Professor Yildiz during the Fall '10 term at Berkeley.
 Fall '10
 yildiz
 Math

Click to edit the document details