I just started reading the first chapter of Georgi Shilov's "Linear Algebra" and I have a question about his notation for determinants. His notation, (7), for the determinant of an n x n matrix seems to be [tex]\det ||a_{ij}||.[/tex](adsbygoogle = window.adsbygoogle || []).push({});

(4) suggests Shilov would write the 1 x 1 matrix with the single element x as [tex]||x||.[/tex] So in (7), does Shilov mean for [tex]||a_{ij}||[/tex] to be interpreted as a 1 x 1 matrix or am I missing something?

(4) and (7) can be found by googling for "Shilov determinant."

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# Shilov's Linear Algebra determinant notation.

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