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Determinants — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDeterminants1 Mark
MCQ
For which of the following elements in the determinant $\triangle\begin{bmatrix}2&8\\4&7\end{bmatrix},$ the minor of the element is $2 :$
  • A
    $2$
  • ✓
    $7$
  • C
    $4$
  • D
    $8$
✓

Answer

Correct option: B.
$7$
Consider the element $7$ in the determinant $\triangle\begin{bmatrix}2&8\\4&7\end{bmatrix}$
The minor of the element $7$ can be obtained by deleting $\text{R}_2$ and $\text{C}_2$
$\therefore\text{M}_{22}=2$
Hence, the minor of the element $7$ is $2.$

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