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Example 23 - Chapter 4 Class 12 Determinants (Term 1)

Last updated at March 16, 2023 by

Example 23 - Find adj A for A = [2 3 1 4] - Chapter 4 NCERT - Examples

Example 23 - Chapter 4 Class 12 Determinants - Part 2
Example 23 - Chapter 4 Class 12 Determinants - Part 3

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Example 23(Method 1) Find adj A for A = 2﷮3﷮1﷮4﷯﷯ adj A = A11﷮A21﷮A12﷮A22﷯﷯ Step1: Calculate minors M11 = 2﷮3﷮1﷮4﷯﷯ = 4 M12 = 2﷮3﷮1﷮4﷯﷯ = 1 M21 = 2﷮3﷮1﷮4﷯﷯ = 3 M22 = 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 = A11﷮A21﷮A12﷮A22﷯﷯ = 4﷮−3﷮−1﷮2﷯﷯ Example 23 (Method 2) Find adj A for A = 2﷮3﷮1﷮4﷯﷯ A = 2﷮3﷮1﷮4﷯﷯ adj A = 2﷮3﷮1﷮4﷯﷯ = 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.