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Determinants question

2020 · Q13
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Determinants question

2020 · Q13

IIT JAMChemistryDeterminantsMCQ+2 / −0.67
The correct statement regarding the determinants (Det) of matrices RRR, SSS and TTT is R=[324457138]S=[234547318]T=[341253478]R = \left[ \begin{array}{l l l} 3 & 2 & 4 \\ 4 & 5 & 7 \\ 1 & 3 & 8 \end{array} \right] \qquad S = \left[ \begin{array}{l l l} 2 & 3 & 4 \\ 5 & 4 & 7 \\ 3 & 1 & 8 \end{array} \right] \qquad T = \left[ \begin{array}{l l l} 3 & 4 & 1 \\ 2 & 5 & 3 \\ 4 & 7 & 8 \end{array} \right]R=​341​253​478​​S=​253​341​478​​T=​324​457​138​​
  1. A
    Det⁡(R)=Det⁡(S)≠Det⁡(T)\operatorname{Det}(R) = \operatorname{Det}(S) \neq \operatorname{Det}(T)Det(R)=Det(S)=Det(T)
  2. B
    Det⁡(R)=Det⁡(T)≠Det⁡(S)\operatorname{Det}(R) = \operatorname{Det}(T) \neq \operatorname{Det}(S)Det(R)=Det(T)=Det(S)
  3. C
    Det⁡(R)=Det⁡(S)=Det⁡(T)\operatorname{Det}(R) = \operatorname{Det}(S) = \operatorname{Det}(T)Det(R)=Det(S)=Det(T)
  4. D
    Det⁡(R),Det⁡(S),Det⁡(T)\operatorname{Det}(R), \operatorname{Det}(S), \operatorname{Det}(T)Det(R),Det(S),Det(T) are all different
View written solutionFree

Correct answer: B

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