Recent content by Throwback

I barely see what it's asking... Given A, I don't have a problem proving that A is a subspace of M22 -- just show there's closure under addition and multiplication. I can find a basis/span, etc. For this question, I'm somewhat lost. Since A + B = M22, then B = M22 - A, I'm assuming B has...

Closure under addition and closure under multiplication?

This should make it easier haha [PLAIN]http://dl.dropbox.com/u/907375/asd.jpg In case the image isn't showing either, the symbol that isn't showing is the "R" for real numbers, so s,t in R and M(R)

Homework Statement Let A be the following 2x2 matrix: s 2s 0 t Find a subspace B of M2x2 where M2x2 = A (+) B Homework Equations A ∩ B = {0} if u and v are in M2x2, then u + v is in M2x2 if u is in M2x2, then cu is in M2x2 The Attempt at a Solution Let B be the...

Homework Statement Given the following 2-dimensional plane in R^4 written in parametric form: x_1 = 1 + (-1)s x_2 = 0 + ( 1)s x_3 = 1 + (-1)t x_4 = 0 + ( 1)t a) find a 2-dimensional plane that does not intersect it b) find a 2-dimensional plane that intersects it to form a point c) find a...

Yeah, because I was shifting over the pair of ones by two every time, and hence decreased by n/2 total normals -- makes sense. I'm not quite sure why I did that; probably just didn't think about the easy math clearly enough. So, just shifting the pair of twos will result in a different...

N3 = (0,0,1,1,0,0,...,0) N4 = (0,0,0,0,1,1,...,0) Yeah? Because these would result in the following dot products (with AB): (0+0+1-1+0+0+...+0)=0, thus normal (0+0+0+0+1-1+0+0+...+0)=0, thus normal

I'm still having some trouble picturing this... So for part (3), I need to find a plane that's normal to vector AB. Let n be my normal vector, AB. I now have to calculate n.p, where p is some point that lies in the plane. I'll use A for my point since it wants it at the origin and A is all...

Homework Statement In Rn, define A = (0, 0, ..., 0) and B = (1, -1, ..., (-1)n-1) Find (1) the parametric form of the line through A and B, (2) as an intersection of (n-1) hyperplanes, and (3) the hyperplane crossing the origin, normal to AB. Homework Equations AB =...