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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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Definition of cofactor/submatrix of a matrix

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CofactorsClose match
Definition of determinant of a matrix as a cofactor expansion across the first rowClose match
The inverse of a matrix can be expressed in terms of its matrix of cofactors.Close match
The determinant of a matrix can be computed as a cofactor expansion across any row.Close match
The determinant of a matrix can be computed as a cofactor expansion down any column.Close match
Definition of adjugate/classical adjoint of a matrixClose match
Definition of conjugate of a matrixClose match
Definition of coefficient matrix of a linear systemClose match
Determinants and operations on matricesClose match
Cramer's ruleClose match
The adjoint of a matrix-scalar product is the product of the adjoint and the conjugate.Close match
Definition of adjoint (conjugate transpose)Related
Formula for the determinant of a 2-by-2 matrix.Related
Matrix multiplication is associative.Related
Definition of matrix multiplication in terms of column vectorsRelated
Definition of matrix-vector productRelated
Definition of matrix-scalar multiplicationRelated
Definition of inverse of a matrixRelated
Definition of matrix multiplicationRelated
Theorem describing matrix multiplicationRelated

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