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  3. 12th Class
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  5. Determinants

12th Class Mathematics Determinants

  • question_answer 1)
    Verify A(adj A) = (Adj A) A = |A| I for matrix       .  

    Answer:

          A11 = (?1)1+1 (?6) = ?6       A12 = (?1)1+2 (?4) = 4       A21 = (?1)2+1 3 = ?3       A22 = (?1)2+2 2 = 2.                                               ? (1)       and (adj A)                                         ?.. (2)       Also         ?. (3)       From (1), (2) and (3), we get A (adj A)       = (adj A) A = |A| I  


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