linear algebra question... see attachment please

Question

chrisplusian · Answer

attachment

chrisplusian · Answer

I need help with problem 6.5. I understand how to do the first part all the way up to stating the dimension. I need help with the second part which says describe the geometrically any sets..........

anonymous · Answer

The space  $S_1$ can be geometrically described as a plane, which is a proper subset of $ R^3$, while $S_2$ can be described as a line, which is a proper subset of $R^2$.  The question would like you to find the equations for the plane and the line.

chrisplusian · Answer

Yes it asks me to do so. I know this is something I did years ago in calc three but i can't remember how anymore

anonymous · Answer

For example, $S^2$ is described by the line $ y + x = 0$.

anonymous · Answer

You may want to look up the cartesian equation for a plane - http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfPlanes.aspx In your case, the solution is very simple for $S_1$ - it's just the plane z=0. But you should check to make sure you understand why.