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

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Leon Granowitz

Posts: 16
Registered: 12/8/04
Eigenvectors of Mixed-Unit Matrices
Posted: Jan 26, 1998 7:12 AM
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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 |
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