Every linear equation determines a _______ in n-dimensional space for n variables.

Every linear equation determines a _______ in n-dimensional space for n variables. Correct Answer hyperplane

In an m-dimensional space, every linear equation produces a hyperplane for n variables. The solution set is the intersection of these hyperplanes and is planar which may have any dimension smaller than m.

Related Questions

Assertion (A): When there is an evidence of a linear relationship between two variables, it may not always mean an independent-dependent relationship between the two variables.
Reason (R): The casual relationship between the two variables may not imply a reasonable theoretical relationship between the two.