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JEE Main Test 11

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  • Question 1
    4 / -1

    If A and B are two non-singular square matrices of the same order, the adjoint of AB is equal to

    Solution

    A and B are non-singular 
    ⇒ AB is non-singular 
    AB adj (AB) = |AB| I ...(1) 
    AB (adj B adjA) = A (B adj B) adj A 
    = A (|B| I) adj A 
    = |B| (A adj A)) = |B| |A| I ...(2) 
    adj (AB) = (adj B) (adj A). 
    Hence, option B is correct.

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