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Example 12 - Chapter 4 Class 12 Determinants

Last updated at June 11, 2023 by

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Example 12 (Method 1) Find adj A for A = [■8(2&3@1&4)] adj A =[■8(A11&A21@A12&A22)] Step1: Calculate minors M11 = [■8(2&3@1&4)] = 4 M12 = [■8(2&3@1&4)] = 1 M21 = [■8(2&3@1&4)] = 3 M22 = [■8(2&3@1&4)] = 2 Step2: Calculate cofactors A11 = 〖"( −1)" 〗^"1 + 1" × 4 = (-1)2 × 4 = 1 × 4 = 4 A12 = 〖"( −1)" 〗^(1+2) M12 = 〖"( −1)" 〗^3 × (1) = ( −1) (1) = −1 A21 = 〖"( −1)" 〗^"2+1" M21 = 〖"( −1)" 〗^3 (3) = ( −1) (3) = −3 A22 = 〖"( −1)" 〗^(2+2) . M22 = 〖"( −1)" 〗^4 . 2 = 2 Step 3: Calculate adjoint adj A = [■8(A11&A21@A12&A22)] = [■8(4&−3@−1&2)] Example 12 (Method 2) Find adj A for A = [■8(2&3@1&4)] A = [■8(2&3@1&4)] adj A = [■8(2&3@1&4)] = [■8(4&−3@−1&2)]

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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.