In the following, singular matrix is -

  • Option 1)

    \begin{bmatrix} 2&3 \\ 1& 3\end{bmatrix}

  • Option 2)

    \begin{bmatrix} 3&2 \\ 2& 3\end{bmatrix}

  • Option 3)

    \begin{bmatrix} 1&2 \\ 1& 0\end{bmatrix}

  • Option 4)

    \begin{bmatrix} 2&6 \\ 4& 12\end{bmatrix}

 

Answers (1)

As we learnt in 

Singular matrix -

\left | A \right |=0 

- wherein

\left | A \right | denotes determinants of A

 

 Determinant of \begin{vmatrix} 2 & 6\\ 4 & 12\\ \end{vmatrix} \, \, is\, \, 0

Thus it is singular matrix.


Option 1)

\begin{bmatrix} 2&3 \\ 1& 3\end{bmatrix}

Incorrect

Option 2)

\begin{bmatrix} 3&2 \\ 2& 3\end{bmatrix}

Incorrect

Option 3)

\begin{bmatrix} 1&2 \\ 1& 0\end{bmatrix}

Incorrect

Option 4)

\begin{bmatrix} 2&6 \\ 4& 12\end{bmatrix}

Correct

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