Exercise 4.3

(i) 2 4 / 0 3 / - (ii) a c / b d

(i) / 1 0 0 / 0 1 0 / 0 0 1 (ii) 1 0 4 / 3 5 1 / 0 1 2 / -

Using Cofactors of elements of second row, evaluate ∆ = 5 3 8 2 0 1 1 2 3 .

Using Cofactors of elements of third column, evaluate ∆ = 1/1 x yz y zx z xy .

If ∆ = 11 12 13 21 22 23 31 32 33

and Aij is Cofactors of aij, then value of ∆ is given by (A) a11 A31+ a 12 A32 + a13 A33 (B) a11 A11+ a 12 A21 + a13 A31 (C) a21 A11+ a22 A12 + a23 A13 (D) a11 A1 1+ a 21 A21 + a31 A31