Check sibling questions

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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Transcript

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