least squares - Optimal order and scaling of matrices -

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i have 2 tables a1 , a2

(for example a1=[0.4472,-0.8944;-0.8944 0.4472] a2=[-0.5558 0.9101;0.8313 0.41420] )

and want check if columns of a2 optimally ordered , scalled (its columns least-squares estimates of columns of a) , if not , make them.

any help? thanks


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