Jacobi's Theorem
Let 
be an 
-rowed Minor of the 
th order Determinant 
associated with an 
Matrix 
in which the rows 
, 
, ..., 
are represented with columns 
, 
,..., 
. Define the complementary minor to as the 
-rowed Minor obtained from by deleting all the rows and columns associated with and the signed complementary minor 
to to be
Let the Matrix of cofactors be given by
with
and 
the corresponding -rowed minors of and 
, then it is true that
References
Gradshteyn, I. S. and Ryzhik, I. M. Tables of Integrals, Series, and Products, 5th ed. San Diego, CA: Academic Press, pp. 1109-1100, 1979.
- Euler-Mascheroni Constant
- Euler-Mascheroni Integrals
- Euler Measure
- Euler Number
- Euler Parameters
- Euler-Poincaré Characteristic
- Euler Polyhedral Formula
- Euler Polynomial
- Euler Polynomial Identity
- Euler Power Conjecture
- Euler Product
- Euler Pseudoprime
- Euler Quartic Conjecture
- Euler's 6n+1 Theorem
- Euler's Addition Theorem
- Euler's Circle
- Euler's Conjecture
- Euler's Criterion
- Euler's Displacement Theorem
- Euler's Distribution Theorem
- Euler's Factorization Method
- Euler's Finite Difference Transformation
- Euler's Graeco-Roman Squares Conjecture
- Euler's Homogeneous Function Theorem
- Euler's Hypergeometric Transformations