Search All of the Math Forum:

Views expressed in these public forums are not endorsed by NCTM or The Math Forum.

Notice: We are no longer accepting new posts, but the forums will continue to be readable.

Topic: Eigenvectors of Mixed-Unit Matrices
Replies: 2   Last Post: Jan 28, 1998 1:42 PM

 Messages: [ Previous | Next ]
 Leon Granowitz Posts: 16 Registered: 12/8/04
Eigenvectors of Mixed-Unit Matrices
Posted: Jan 26, 1998 7:12 AM

We are given a covariance matrix A (say 2x2 for simplicity) with mixed
units, say

| 4 m^2 1 m*Kgm |
A = | |
| 1 m*Kgm 2 Kgm^2 |

Obviously, we can compute the eigenvectors and eigenvalues of the matrix
A without consideration of the units. However, if you retain the units
of each element of A in the eignenvector equation

AX = sX

there is no set of units for the vector X and scalar s that make the
eigenvector equation dimensionally consistent.

How can this be reconciled?
--
Leon Granowitz | leong@worldnet.att.net
Principal Engineer | lgg@swl.msd.ray.com
Raytheon | (617) 275-2665

Date Subject Author
1/26/98 Leon Granowitz
1/28/98 Herman Rubin
1/28/98 Robert Hill