Question

Adjuzate of a matrix

25 Mar 2026
Answer :
Word Count : 208
The adjugate of a matrix, also known as the adjoint matrix, is a matrix obtained by taking the transpose of the cofactor matrix of a given square matrix. For a square matrix (A = [a_{ij}]) of order (n \times n), the cofactor of an element (a_{ij}) is calculated by finding the determinant of the ((n-1) \times (n-1)) submatrix obtained by removing the (i)-th row and (j)-th column from (A), multiplied by ((-1)^{i+j}). The matrix formed by placing
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