t(e$values * t(e$vectors))

Uwe Ligges

On 25.06.2010 20:42, rkevinbur...@charter.net wrote:
I am trying to check the results from an Eigen decomposition and I need to force a 
scalar multiplication. The fundamental equation is: Ax = lx. Where 'l' is the 
eigen value and x is the eigen vector corresponding to the eigenvalue. 'R' returns 
the eigenvalues as a vector (e<- eigen(A); e$values). So in order to 'check' 
the result I would multiply the eigenvalues ('l') by the eigenvectors. But unless 
I do it one by one (say e$values[1] * e$vectors[,1]) 'R' tries a matrix 
multiplication and that is not what I want.  I would like a matrix that is formed 
by the SCALAR multiplication of each of the values by the corresponding 
eigenvector. How can I force such a multiplication?

Thank you.

Kevin

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