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Suppose you have a linear system of equations in 3 variables with 4 equations.
 
Suppose you have a linear system of equations in 3 variables with 4 equations.
  
Typically, we expect a unique solution.
+
Typically, we expect no solution.
  
 
List cases you can think of geometric constellations that result in at least one solution.
 
List cases you can think of geometric constellations that result in at least one solution.

Revision as of 16:05, 27 January 2010

Suppose you have a linear system of equations in 3 variables with 4 equations.

Typically, we expect no solution.

List cases you can think of geometric constellations that result in at least one solution.

If you are brave, repeat with 5 equations in 3 variables.

Alumni Liaison

Basic linear algebra uncovers and clarifies very important geometry and algebra.

Dr. Paul Garrett