Question

For which of the following matrices it is possible to find a determinant?

• A. $\left[\begin{array}{cccc}1& 2& 3& 4\\ 5& 6& 7& 8\\ 9& 10& 11& 2\end{array}\right]$
• B. $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\end{array}\right]$
• C. $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$
• D. $None$

Answer 1

The correct option is C $\left[\begin{array}{ccc}1& 2& 3\\ 4& 5& 6\\ 7& 8& 9\end{array}\right]$

Since determinant is defined only for square matrices. So it can be found for the matrix given in option C only. Rest all the matrices are not square matrices, i.e. their number of rows is not equal to the number of columns.