How often do determinants over finite fields vanish? (Q1091444)
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scientific article; zbMATH DE number 4010683
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | How often do determinants over finite fields vanish? |
scientific article; zbMATH DE number 4010683 |
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How often do determinants over finite fields vanish? (English)
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1987
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\textit{A. Mukhopadhyay} [ibid. 51, 311-315 (1984; Zbl 0553.15003)] derived a formula for the probability that an \(n\times n\) matrix over a finite field has determinant zero. The author of the present note shows that the earlier formula is false and gives the correct result.
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singular matrix
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finite field
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determinant zero
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