This site is being phased out.

Is the complement of a linear subspace always a linear subspace?

From Mathematics Is A Science
Jump to navigationJump to search

Question: Is the complement of a linear subspace always a linear subspace?

Answer: No, never.

Why: It doesn't even contain the zero element!

What about the union? the intersection ?

What if these questions are asked about groups?

Retrieved from "https://calculus123.com/index.php?title=Is_the_complement_of_a_linear_subspace_always_a_linear_subspace%3F&oldid=717"