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Find adjoint of a matrix
Last updated at May 29, 2023 by Teachoo
Example 12(Method 1) Find adj A for A = 2314 adj A = A11A21A12A22 Step1: Calculate minors M11 = 2314 = 4 M12 = 2314 = 1 M21 = 2314 = 3 M22 = 2314 = 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 = A11A21A12A22 = 4−3−12 Example 12 (Method 2) Find adj A for A = 2314 A = 2314 adj A = 2314 = 4−3−12