Write the minor and cofactor of element of the first column of the following matrix and hence evaluate the determinant in case of : 

$A=\left[\begin{array}{ccc}1& a& bc\\ 1& b& ca\\ 1& c& ab\end{array}\right]$

Write the minor and cofactor of element of the first of the first column of the following matrix and hence evaluate the determinant in each case :

$A=\left[\begin{array}{ccc}0& 2& 6\\ 1& 5& 0\\ 3& 7& 1\end{array}\right]$

Write the minor and cofactor of element of the first column of the following matrix and hence evaluate the determinant:

$A=\left[\begin{array}{ccc}a& h& g\\ h& b& f\\ g& f& c\end{array}\right]$

Write the minor and cofactor of element of first column of the fllowing  matrix and hence evaluate the determinant in each case:
$A=\left[\begin{array}{cccc}2& -1& 0& 1\\ -3& 0& 1& -2\\ 1& 1& -1& 1\\ 2& -1& 5& 0\end{array}\right]$

The determinant $\left|\begin{array}{cc}x& -7\\ x& 5x+1\end{array}\right|$ is of the form $a{x}^2+bx$, then $a+b=$ 

Evaluate the following determinant: $\left|\begin{array}{cc}\cos \theta & -\sin \theta \\ \sin \theta & \cos \theta \end{array}\right|$

Evaluate the following determinant: $\left|\begin{array}{cc}\cos 15°& \sin 15°\\ \sin 75°& \cos 75°\end{array}\right|$

The following determinant: $\left|\begin{array}{cc}a+ib& c+id\\ -c+id& a-ib\end{array}\right|$ is of the form $n\left(a^2+b^2+c^2+d^2\right)$, then $n=$

Evaluate:

${\left|\begin{array}{ccc}2& 3& 7\\ 13& 17& 5\\ 15& 20& 12\end{array}\right|}^2$