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Evaluating determinant using minor and co-factor
Evaluating determinant using minor and co-factor
Last updated at Aug. 9, 2021 by Teachoo
Ex 4.4, 5 If ∆ = |■8(a11&a12&a13@a21&a22&a23@a31&a32&a33)| and Aij is Cofactor of aij then value of ∆ is given by (A) a11 A31 + a12 A32 + a13 A33 (B) a11 A11 + a12 A21 + a13 A31 (C) a21 A11 + a22 A1 2 + a23 A13 (D) a11 A11 + a21 A21 + a31 A31 If ∆ = |■8(a11&a12&a13@a21&a22&a23@a31&a32&a33)| ∆ = Sum of products of elements of row (or column) with their corresponding cofactors ∆ = a11 A11 + a21 A21 + a31 A31 So, option D is correct