Need help to prove (or disprove, hope not) this result:(adsbygoogle = window.adsbygoogle || []).push({});

Let Q=[q_ij] be a orthogonal matrix (Q^T*Q=Identity) and let Q2 be the matrix of the squares of the entries of Q, that is Q2=[q^2_ij]. I need to prove that Q2 is nonsingular.

Been trying with some results about the Hadamard or Schur porduct in the sense that Q2=Q.Q

where the dot . represents the Schur product!

Any ideas

Thanks

Monguss

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# Nonsingularity of matrix of squares (help)

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