Recent content by FunkReverend

Homework Statement Find the basis of the solution space W \subset \Re^{4} of the system of linear equations 2x_{1} + 1x_{2} + 2x_{3} +3x_{4} =0 _{ } 1x_{1} + 1x_{2} + 3x_{3} = 0 Homework Equations The basis must span W and be independent. The Attempt at a Solution Solving...

What? I can only assume you're asking if I go to Washington. No, It's just the problem comes straight from a common algebra textbook and I'm in the same chapter.

Alright, I've just about got a solution now, this should get you started on the right track: I was right previously, we are not looking for a number r such that s(n)*r = 1, but for a map. The right inverse of s would mean that s(r(n)) = n for all n in the natural numbers. Can you prove that r...

What would a linear combination of 2003 and 205 look like?

Hey, I'm working on the same problem, and equally stuck. Here's a line of thought I think might be the key. We aren't looking for an inverse such that s*R = 1, because s isn't a number, it's a map. The definition of s*R = 1 is for an element s. What s is an element of is the maps N -> N, so...