Dear Sir, I am an R user. I am in problem to find eigen vectors in R. For the following matrix eigen vectors are not right. I can not understand why?? For the 1st eigen value and 2nd eigen value are same, but the eigen vectors are not same. *HOW CAN I RESOLVE THE PROBLEM??* *>c=matrix(c(1,0,0,1,2,0,-3,5,2),nrow=3,byrow=T)> eigen(c)$values[1] 2 2 1$vectors [,1] [,2] [,3][1,] 0 0.000000e+00 0.1230915[2,] 0 8.881784e-17 -0.1230915[3,] 1 -1.000000e+00 0.9847319*>-- Thanking You Md. Habibur Rahman [[alternative HTML version deleted]]
> On 21 Apr 2016, at 22:17, MD. HABIBUR RAHMAN <habib.drj at gmail.com> wrote: > > Dear Sir, > I am an R user. > I am in problem to find eigen vectors in R. > For the following matrix eigen vectors are not right. I can not understand > why?? > For the 1st eigen value and 2nd eigen value are same, but the eigen vectors > are not same. > > *HOW CAN I RESOLVE THE PROBLEM??* >Please do not post in html as the Posting guide directs. Your code is a mess because of the html. You can't resolve the problem: it is non existent. See: en.wikipedia.org/wiki/Eigenvalues_and_eigenvectors#Triangular_matrix_example> > *>c=matrix(c(1,0,0,1,2,0,-3,5,2),nrow=3,byrow=T)> eigen(c)$values[1] 2 2 > 1$vectors [,1] [,2] [,3][1,] 0 0.000000e+00 > 0.1230915[2,] 0 8.881784e-17 -0.1230915[3,] 1 -1.000000e+00Do not use c as a variable name. It is a builtin function. Do not use T for TRUE; it will lead to tears at some point. Berend Hasselman