Write Minors and Cofactors of the elements of following determinants: 1. (i) 2 4 0 3 (ii) a c b d 2. (i) 1 0 0 0 1 0 0 0 1 (ii) 1 0 4 3 5 1 0 1 2 3. Using Cofactors of elements of second row, evaluate D = 5 3 8 2 0 1 1 2 3 . 4. Using Cofactors of elements of third column, evaluate D = 1 1 1 x yz y zx z xy . 5. If D = 11 12 13 21 22 23 31 32 33 a a a a a a a a a and Aij is Cofactors of aij, then value of D is given by (A) a11 A31+ a12 A32 + a13 A33 (B) a11 A11+ a12 A21 + a13 A31 (C) a21 A11+ a22 A12 + a23 A13 (D) a11 A11+ a21 A21 + a31 A31
Question 1:(i) 2 4 0 3 – (ii) a c b d
Question 2:(i) 1 0 0 0 1 0 0 0 1 (ii) 1 0 4 3 5 1 0 1 2 –
Question 3:Using Cofactors of elements of second row, evaluate D = 5 3 8 2 0 1 1 2 3 .
Question 4:Using Cofactors of elements of third column, evaluate D = 1 1 1 x yz y zx z xy .
Question 5:If D = 11 12 13 21 22 23 31 32 33 a a a a a a a a a and Aij is Cofactors of aij, then value of D is given by (A) a11 A31+ a12 A32 + a13 A33 (B) a11 A11+ a12 A21 + a13 A31 (C) a21 A11+ a22 A12 + a23 A13 (D) a11 A11+ a21 A21 + a31 A31
