Recent content by hiroman

Many thanks for the enlightenment, Steve! Cheers.

Is it possible to have a cubic polynomial (ax^3+bx^2+cx+d) which has three REAL roots, with one of them being +/- infinity? If there is, can you give an example? Thanks!

Thanks for the illustration on eigenvalues and eigenvectors. Then, is it correct to consider that eigenvectors of a matrix are the same if the orientation is different? Per the example, the eigenvectors would be the same if the people are stretching or contracting the rubber sheet?

Hi! I am a new user who is not an expert with Linear Algebra at all. I have some questions about eigen values/vectors and their meaning with relation to a 2x2 matrix, or tensor, which was obtained by the tensor product of 2 vectors. First, I have two 2-dimensional 2x1 vectors "v1" and "v2"...

Just realized that I can use the dyadic product of two vectors to generate my tensor. Thus, v1(point)=[1; 2]; v2(point)=[-1;-2] can give T(point)=[(1)(-1) (1)(-2); (2)(-1) (2)(-2)] T(point)=[-1 -2;-2 -4]. Thus I can have the same eigenvectors if [dyadic product(v1,v2)] or [dyadic...

Hi all! I have a discrete 2D vector field with a particular characteristic: At every point, instead of having a single vector, I have two vectors which are in the opposite direction. For example, at point p(x,y)=p(0,0) I have two vectors: v1(1,1) and v2(-1,-1). And so on for all points. I...