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Determinants question

2021 · Q10
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Determinants question

2021 · Q10

IIT JAMChemistryDeterminantsMCQ+1 / −0.33
Among the following, the matrices with non-zero determinant are P=[1000010000100001]Q=[1000020000300004]R=[1000220031304314]S=[1231234234134124]\mathbf{P} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 1 & 0 & 0 \\ 0 & 0 & 1 & 0 \\ 0 & 0 & 0 & 1 \end{bmatrix} \quad \mathbf{Q} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 0 & 2 & 0 & 0 \\ 0 & 0 & 3 & 0 \\ 0 & 0 & 0 & 4 \end{bmatrix} \quad \mathbf{R} = \begin{bmatrix} 1 & 0 & 0 & 0 \\ 2 & 2 & 0 & 0 \\ 3 & 1 & 3 & 0 \\ 4 & 3 & 1 & 4 \end{bmatrix} \quad \mathbf{S} = \begin{bmatrix} 1 & 2 & 3 & 1 \\ 2 & 3 & 4 & 2 \\ 3 & 4 & 1 & 3 \\ 4 & 1 & 2 & 4 \end{bmatrix}P=​1000​0100​0010​0001​​Q=​1000​0200​0030​0004​​R=​1234​0213​0031​0004​​S=​1234​2341​3412​1234​​
  1. A
    **P**, **Q** and **R**
  2. B
    **P**, **R** and **S**
  3. C
    **P**, **Q** and **S**
  4. D
    **Q**, **R** and **S**
View written solutionFree

Correct answer: A

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