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Example 20 - Find minors and cofactors of all elements - Examples

  1. Chapter 4 Class 12 Determinants
  2. Serial order wise
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Example 20 Find minors and cofactors of all the elements of the determinant 1﷮−2﷮4﷮3﷯﷯ Minor of a11 = M11 = 1﷮−2﷮4﷮3﷯﷯ = 3 Minor of a12 = M12 = 1﷮2﷮4﷮3﷯﷯ = 4 Minor of a21 = M21 = 1﷮−2﷮4﷮3﷯﷯ = –2 Minor of a22 = M22 = 1﷮−2﷮4﷮3﷯﷯ = 1 Cofactor of a11 = A11 = ( – 1)1+1 M11 = ( – 1)2 . 3 = 3 Cofactor of a12 = A12 = ( – 1)1+2 M12 = ( – 1)3 . 4 = ( –1) (4) = – 4 Cofactor of a21 = A21 = ( – 1)2+1 . M21 = ( – 1)3 ( – 2) = ( – 1) ( – 2) = 2 Cofactor of a22 = A22 = ( – 1)2+2 . M22 = ( – 1)4 . (1) = (1) (1) = 1

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