Recent content by Ghost of Progress

I was just working an a problem that askes me to find the projection matrix P that projects vectors in R3 onto the orthoginal compliment of a two dimensional subsapce of R3 spanned by x1 = [1,0,2]T x2 = [0,1,-2] --- I've found that the bases of the orthoginal compliment is [-2,2,1]T ---...

I want to project a vector from R3 onto a subspace. I'll let the bases for the subspace be [a,b,c]T (my T's mean transpose) --- I have the defintion for vector projection p = (<u,v>/<v,v>)*v --- I know v will be the [a,b,c]T vector but what is u? The only thing I could think of is let it...

Question states Consider the vector space C[-1,1] with an inner product defined by <f,g> = the integral from 1 to -1 of f(x)g(x) dx a) Show that u1(x)= 1/(2^.5) u2(x)= ((6^.5)/2)x form an orthonormal set of vectors b) Use the result from a) to find the best least squates...

I just did some more reading and realized this was really a question about Hawking radiation. Any answers on the question of just how much a black hole can curve space would still be appreciated - thanks.

Recently someone told me that Black holes give off some sort of radiation and that this radiation, in escaping the black hole, must be traveling at faster than the speed of light. The biggest thing that I'm unsure of is just how much a black hole bends space. Does it curve it just sharply...