SKEDSOFT

Determinant:

Let then the determinant of the matrix A which is denoted by det (A) or |A| is defined by det (A) = a₁₁a₂₂ - a₂₁a₁₂ .

Example-1:

Find the determinant of

Example-2:

Cofactor Expansion:

Let A = [ a_ij ] be n n matrix . The coefficient A_ij od aij is defined as A_ij = ( -1)^{i j} det (M_ij).

Example-3:

Hence,