Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Kaba
Posts:
289
Registered:
5/23/11


Uniqueness of Q
Posted:
Nov 7, 2012 10:30 AM


Hi,
Let Q, U, D, V in R^{n x n}, where Q^T Q = U^T U = V^T V = I, and D is nonnegative diagonal. Consider the equation
Q^T UDV^T = VDU^T Q.
One solution to this equation is Q = UV^T.
Prove or disprove: this solution is unique.
 http://kaba.hilvi.org



