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Determinants — Maths STD 12 Science — Question

Gujarat BoardEnglish MediumSTD 12 ScienceMathsDeterminants1 Mark
MCQ
Which of the following matrices will not have a determinant?
  • A
    $\begin{bmatrix}4&2\\5&4\end{bmatrix}$
  • B
    $\begin{bmatrix}1&5&3\\3&6&2\\4&8&7\end{bmatrix}$
  • ✓
    $\begin{bmatrix}5&8&9\\3&4&6\end{bmatrix}$
  • D
    $\begin{bmatrix}1&2\\5&5\end{bmatrix}$
✓

Answer

Correct option: C.
$\begin{bmatrix}5&8&9\\3&4&6\end{bmatrix}$
Determinant of the matrix $\text{A}=\begin{bmatrix}5&8&9\\3&4&6\end{bmatrix}$ is not possible as it is a rectangular matrix and not a square matrix.
Determinants can be calculated only if the matrix is a square matrix.

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