08-30-10 - Math 54 Discussion Section Problems Mike...

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Unformatted text preview: Math 54 Discussion Section Problems Mike Hartglass August 30, 2010 You should work on the following problems in groups of 3 or 4. Try to get through as many as you can, but you aren’t expected to finish everything. In fact, the answers are largely unimportant; making sure everyone in your group knows how to solve all the problems is what really matters. 1. 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 2. Find the general solution to the system of equations whose augmented matrix is (a) 1 3 4 7 3 9 7 6 (b)...
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This note was uploaded on 11/19/2010 for the course LECTURE 1 taught by Professor Yildiz during the Fall '10 term at Berkeley.

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