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Class 12

Determinants, Area and Cofactors — Quiz

Five questions on evaluating determinants, area of a triangle and cofactors. Pick one answer for each.

5 questions, one mark each. 3 to pass. Suggested time: 10 minutes. Your answers are not recorded.

  1. Evaluate ∣4−325∣\begin{vmatrix} 4 & -3 \\ 2 & 5 \end{vmatrix}.
  2. Evaluate ∣210031102∣\begin{vmatrix} 2 & 1 & 0 \\ 0 & 3 & 1 \\ 1 & 0 & 2 \end{vmatrix}.
  3. AA is a 3×33 \times 3 matrix with ∣A∣=5\lvert A \rvert = 5. Find ∣3A∣\lvert 3A \rvert.
  4. Find the area of the triangle with vertices (0,0)(0, 0), (4,1)(4, 1) and (2,5)(2, 5).
  5. For ∣3−152∣\begin{vmatrix} 3 & -1 \\ 5 & 2 \end{vmatrix}, the cofactor A12A_{12} is
Unanswered questions are marked wrong.

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