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Orthogonal transformation of matrix 
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#1
Apr606, 04:34 PM

P: 66

I have a question on matrix norms and orthogonal transformations. The 2norm in invariant under orthogonal transformation, for if Q^T*Q=I. But i have trouble showing that for orthogonal Q and Q^H with appropriate dimensions
 Q^H*A*Q 2 = A 2 


#2
May2306, 07:49 AM

P: 161

The 2norm of A returns the squareroot of the maximum absolute eigenvalues of A^HA. So check, does (Q^HA*Q)^HQ^HA*Q preserve the absolute eigenvalues of A^HA?



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