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Ex 4.5, 1 (Method 1) Find adjoint of each of the matrices. [β– 8(1&2@3&4)] A = [β– 8(1&2@3&4)] adj A = [β– 8(1&2@3&4)] = [β– 8(πŸ’&βˆ’πŸ@βˆ’πŸ‘&𝟏)] Ex 4.5, 1 (Method 2) Find adjoint of each of the matrices. [β– 8(1&2@3&4)] Let A = [β– 8(1&2@3&4)] adj A =[β– 8(𝐴11&𝐴21@𝐴12&𝐴22)] Step 1: Calculate minors M11 = |β– 8(2&2@3&4)| M12 = |β– 8(2&2@3&4)| M21 = |β– 8(1&2@3&4)| M22 = |β– 8(1&2@3&4)|Step 2: Calculate cofactors A11 = γ€–"( – 1)" γ€—^(1+1) . M11 = γ€–"( – 1)" γ€—^2 4 = 4 A12 = γ€–"( – 1)" γ€—^(1+2) . M12 = γ€–"( – 1)" γ€—^3 (3) = ( – 1) (3) = –3 A21 = γ€–"( – 1)" γ€—^(2+1) . M21 = γ€–"( – 1)" γ€—^3 2 = ( – 1) (2) = –2 A22 = γ€–"( – 1)" γ€—^(2+2) (1) = γ€–"( – 1)" γ€—^4 (1) = 1 Step 3: Calculate adjoint adj A = [β– 8(A11&A12@A21&A22)] = [β– 8(πŸ’&βˆ’πŸ@βˆ’πŸ‘&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.