The exercises below pertain to the function:
| f(x_{1}, x_{2} , x_{3}) = M |
|
where
| M = |
| . |
Put the matrix M in reduced row echelon form.
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).
What word describes the type of geometric object in 3-dimensional space that is represented by your last answer?