Example 9 Find minors and cofactors of all the elements of the determinant |■8(1&−2@4&3)| Minor of a11 = M11 = |■8(1&−2@4&3)| = 3 Minor of a12 = M12 = |■8(1&2@4&3)| = 4 Minor of a21 = M21 = |■8(1&−2@4&3)| = –2 Minor of a22 = M22 = |■8(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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Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.

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