Let A?Rn× n be a non-symmetric matrix.
Prove that |?1| is real, provided that
|?1|>|?2|?|?3|?...?|?n|
where ?i ,...
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Let A?Rn× n be a non-symmetric matrix.
Prove that |?1| is real, provided that|?1|>|?2|?|?3|?...?|?n|where ?i , i= 1,...,n are the eigenvalues of A, whileothers can be real or not real.
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Consider the characteristic equation The eigenvalues of the matrix are the roots of thischaracteristic equationSuppose that are the eigenvalues
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