Ex 4.4, 1 - Chapter 4 Class 12 Determinants

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Ex 4.4, 1 Write Minors and Cofactors of the elements of following determinants: (i) 2 4 0 3 Minor of a11 = M11 = 2 4 0 3 = 3 Minor of a12 = M12 = 2 4 0 3 = 0 Minor of a21 = M21 = 2 4 0 3 = 4 Minor of a22 = M22 = 2 4 0 3 = 2 Cofactor of a11 = A11 = ( 1)1+1 M11 = ( 1)2 3 = 3 Cofactor of a12 = A12 = ( 1)1+1 M12 = ( 1)2 0 = 0 Cofactor of a21 = A21 = ( 1)2+1 M21 = ( 1)3 ( 4) = 1 ( 4) = 4 Cofactor of a22 = A22 = ( 1)2+2 M22 = ( 1)4 ( 2) = 2 Ex 4.4, 1 Write Minors and Cofactors of the elements of following determinants: (ii) a c b d Minor of a11 = M11 = a c b d = d Min or a12 = M12 = a c b d = b Minor of a21 = M21 = a c b d = c Minor of a22 = M22 = a c b d = a Cofactor of a11 = A11 = ( 1)1+1 M11 = ( 1)2 . d = 1 (d) = d Cofactor of a12 = A12 = ( 1)1+2 M12 = ( 1)3 . b = (b) = b Cofactor of a21 = A21 = ( 1)2+1 M21 = ( 1)3 . c = c Cofactor of a22 = A22 = ( 1)2+2 M22 = ( 1)4 (a) = a