Determinant calculation of a square matrix is widely used in solving many applied Mathematics problems. Some of them are while solving a set of linear equations using Cramer's rule (iff they have unique solutions), calculation of inverse matrix, Eigen values/ Eigen vectors problem and so on.
The determinant of a square matrix A∈Rn×n is the real number det(A) defined as follows:
det(A) = SUMperm [sign(ν1,ν2,...,νn)a1ν1a2ν2...anνn]
.
The determinant of a square matrix A∈Rn×n is the real number det(A) defined as follows:
det(A) = SUMperm [sign(ν1,ν2,...,νn)a1ν1a2ν2...anνn]
.
