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The determinant of a matrix can be computed as a cofactor expansion across any row.
Definition of cofactor/submatrix of a matrix
Definition of determinant of a matrix as a cofactor expansion across the first row
The determinant of a matrix can be computed as a cofactor expansion down any column.
The inverse of a matrix can be expressed in terms of its matrix of cofactors.
Cramer's rule

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The inverse of a matrix can be expressed in terms of its matrix of cofactors.

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Definition of cofactor/submatrix of a matrixClose match
Definition of adjugate/classical adjoint of a matrixClose match
The adjoint of a matrix-scalar product is the product of the adjoint and the conjugate.Close match
Matrix adjoint is an involution.Close match
The adjoint of a product of matrices is the product of the adjoints in reverse order.Close match
Definition of adjoint (conjugate transpose)Close match
The determinant of a matrix can be computed as a cofactor expansion across any row.Close match
CofactorsClose match
The conjugate of the transpose is the transpose of the conjugate.Close match
Matrix transpose commutes with matrix inverse.Close match
Definition of determinant of a matrix as a cofactor expansion across the first rowClose match
The determinant of the inverse of A is the reciprocal of the determinant of A.Close match
The conjugate of a product of matrices is the product of the conjugates.Close match
The determinant of a matrix can be computed as a cofactor expansion down any column.Close match
A matrix turns into its adjoint when moved to the other side of the standard inner product on C^n.Close match
Matrix inverse is an involution.Close match
The inverse of a matrix (if it exists) can be found by row reducing the matrix augmented by the identity matrix.Close match
Matrix inverses are unique: if A and B are square matricesClose match
Example of finding the inverse of a 2-by-2 matrix by using a formulaClose match
Formula for the inverse of a 2-by-2 matrix.Close match

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