gives the adjugate of a square matrix m.
- The adjugate is also known as the classical adjoint or the adjunct matrix.
- The adjugate of an invertible matrix m is given by Inverse[m]Det[m].
- The matrix product of a matrix m with its adjugate is equal to the determinant of m multiplied by an identity matrix of the same size as m.
- The matrix m can be numerical or symbolic, but must be square.
Examplesopen allclose all
Basic Examples (3)
Basic Uses (5)
Compute a cofactor using Adjugate:
Compute the inverse of a matrix using Adjugate:
Compare with Inverse:
Use Adjugate to solve a linear equation:
Compare with LinearSolve:
Properties & Relations (5)
m.Adjugate[m] is equal to Det[m] times an identity matrix of the same size:
Inverse[m] is equal to the adjugate divided by the determinant:
Neat Examples (2)
Wolfram Research (2021), Adjugate, Wolfram Language function, https://reference.wolfram.com/language/ref/Adjugate.html.
Wolfram Language. 2021. "Adjugate." Wolfram Language & System Documentation Center. Wolfram Research. https://reference.wolfram.com/language/ref/Adjugate.html.
Wolfram Language. (2021). Adjugate. Wolfram Language & System Documentation Center. Retrieved from https://reference.wolfram.com/language/ref/Adjugate.html