Multiple Choice Questions on Matrix A it rsquo s determinant value is 2 then find the determinant value of B........... for NDA Exam Preparation

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Multiple Choice Questions

Matrix A it rsquo s determinant value is 2 then find the determinant value of B...........

Mathematics (NDA) Matrices and Determinants
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 Matrix  A=\begin{bmatrix} 1 & 2 & 4\\ 0 & 1 & 3\\ 4 & 2 & 1 \end{bmatrix}, it’s  determinant value is 2, then find the determinant value of B= \begin{bmatrix} 1 & 2 & 4\\ 0 & 9 & 27\\ 4 & 2 & 1 \end{bmatrix}

                              

9

Incorrect Answer

27

Incorrect Answer

18

Correct Answer

36

Incorrect Answer
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Explanation:

Determinant A value is 2

Matrix B = \begin{bmatrix} 1 & 2 & 4\\ 0 & 9 & 27\\ 4 & 2 & 1 \end{bmatrix}=9\begin{bmatrix} 1 & 2 & 4\\ 0 & 1 & 3\\ 4 & 2 & 1 \end{bmatrix}

B  =  9   A

    =9   (2)

    =18

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