Determinant det(A) of a matrix A is non-zero if and only if A is invertible or, yet another equivalent statement, if its rank equals the size of the matrix. If so, the determinant of the inverse matrix is given by (−) = (). Matrix
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Inverse of Matrix
Matrix Inverses Multiplicative Inverse of a Matrix. For a square matrix A, the inverse is written A-1. When A is multiplied by A-1 get identity matrix. When det(A) is zero inverse not exists. Hence singular matrix has no inverse. Inverse of Matrix