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  3. let a?rn× n be a non-symmetric matrix. prove that

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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Advance Math

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    See Answer
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