cofactor

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1: 1.3 Determinants, Linear Operators, and Spectral Expansions

§1.3 Determinants, Linear Operators, and Spectral Expansions

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§1.3(i) Determinants: Elementary Properties

… ►The cofactor $A_{jk}$ of $a_{jk}$ is ►

1.3.3 $$A_{jk}={(-1)}^{j+k}{M}_{jk}.$$

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Defines:

$A_{jk}$: cofactor (locally)

Symbols:

$j$: integer, $k$: integer and $M_{jk}$: minor

Permalink:

http://dlmf.nist.gov/1.3.E3

Encodings:

pMML, png, TeX

See also:

Annotations for §1.3(i), §1.3(i), §1.3 and Ch.1

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1.3.4 $$det[a_{jk}]=\sum _{\mathrm{\ell }=1}^n{a}_{j\mathrm{\ell }}{A}_{j\mathrm{\ell }}.$$

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Symbols:

$det$: determinant, $j$: integer, $k$: integer, $n$: nonnegative integer and $A_{jk}$: cofactor

Permalink:

http://dlmf.nist.gov/1.3.E4

Encodings:

pMML, png, TeX

See also:

Annotations for §1.3(i), §1.3(i), §1.3 and Ch.1

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