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Ex 4.4, 1 Write Minors and Cofactors of the elements of following determinants: (i) |■8(2&−[email protected]&3)| Minor of a11 = M11 = |■8(2&−[email protected]&3)| Minor of a12 = M12 = |■8(2&−[email protected]& 3)| Minor of a21 = M21 = |■8(2&−[email protected]&3)| Minor of a22 = M22 = |■8(2&−[email protected]&3)| 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 Cofactor of 𝑎_𝑖𝑗= 𝐴_𝑖𝑗 = (−1)^(𝑖+𝑗). 𝑀_𝑖𝑗

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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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.