# [R] Forcing scalar multiplication.

Uwe Ligges ligges at statistik.tu-dortmund.de
Sat Jun 26 16:03:36 CEST 2010

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

Uwe Ligges

On 25.06.2010 20:42, rkevinburton at 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 * 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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