Multiple Choice Questions on If B is a non singular matrix and A is a square matrix then the value of det B minus 1AB is equal to........... for NDA Exam Preparation

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Multiple Choice Questions

If B is a non singular matrix and A is a square matrix then the value of det B minus 1AB is equal to...........

Mathematics (NDA) Matrices and Determinants
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    If B is a non-singular matrix and A is a square matrix, then the value of det(B−1AB) is equal to

    det(B)

    Incorrect Answer

    det(A)

    Correct Answer

    det(B-1)

    Incorrect Answer

    det(A-1)

    Incorrect Answer
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    Explanation:
    |B−1AB|=|B−1||A||B|
    =1/|B| |A| |B|=|A|
     

    By: Munesh Kumari
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