Math 220 Assignment

September 5, 2001

Assignment for Friday, September 7

The exercises below pertain to the function:

 f(x_{1}, x_{2} , x_{3})  =  M 
(
x_{1} 
x_{2}
x_{3}
)
 

where

 M  =  
(
-2
-1
5
4
-3
-2
-3
1
)
  .  

  1. Put the matrix M in reduced row echelon form.

  2. Use your result in the preceding exercise as an aid to finding the set of all points (x_{1}, x_{2}, x_{3}) for which f(x_{1}, x_{2}, x_{3}) = (0, 0, 0).

  3. What word describes the type of geometric object in 3-dimensional space that is represented by your last answer?


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