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Ex 4.5, 1 (Method 1) Find adjoint of each of the matrices. [■8(1&[email protected]&4)] A = [■8(1&[email protected]&4)] adj A = [■8(1&[email protected]&4)] = [■8(𝟒&−𝟐@−𝟑&𝟏)] Ex 4.5, 1 (Method 2) Find adjoint of each of the matrices. [■8(1&[email protected]&4)] Let A = [■8(1&[email protected]&4)] adj A =[■8(𝐴11&𝐴[email protected]𝐴12&𝐴22)] Step 1: Calculate minors M11 = |■8(2&[email protected]&4)| M12 = |■8(2&[email protected]&4)| M21 = |■8(1&[email protected]&4)| M22 = |■8(1&[email protected]&4)|Step 2: Calculate cofactors A11 = 〖"( – 1)" 〗^(1+1) . M11 = 〖"( – 1)" 〗^2 4 = 4 A12 = 〖"( – 1)" 〗^(1+2) . M12 = 〖"( – 1)" 〗^3 (3) = ( – 1) (3) = –3 A21 = 〖"( – 1)" 〗^(2+1) . M21 = 〖"( – 1)" 〗^3 2 = ( – 1) (2) = –2 A22 = 〖"( – 1)" 〗^(2+2) (1) = 〖"( – 1)" 〗^4 (1) = 1 Step 3: Calculate adjoint adj A = [■8(A11&[email protected]&A22)] = [■8(𝟒&−𝟐@−𝟑&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 12 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.