Determinants Te...

If $$A=\begin{bmatrix} 2 & -3 \\ -4 & 1 \end{bmatrix}$$, then $$\text{adj}$$ $$(3{ A }^{ 2 }+12A)$$ is equal to 

If $$\begin{bmatrix} 1 & \alpha  & 3 \\ 1 & 3 & 3 \\ 2 & 4 & 4 \end{bmatrix}$$ is the adjoint of a $$3\times 3$$ matrix $$A$$ and $$|A|=4$$, then $$\alpha$$ is equal to:

If  $$\begin{vmatrix} x-4 & 2x & 2x \\ 2x & x-4 & 2x \\ 2x & 2x & x-4 \end{vmatrix}$$ = $$(A+Bx)(x-A)^2$$,
then the ordered pair $$(A , B)$$ is equal to:  

If  $$\left| \begin{array} { c c } { 1 } & { \sin x } & { \sin ^ { 2 } x } \\ { 1 } & { \cos x } & { \cos ^ { 2 } x } \\ { 1 } & { \tan x } & { \tan ^ { 2 } x } \end{array} \right| = 0 , x \in [ 0,2 \pi ] ,$$ then number of possible values of  $$x$$  is.

For what value of x, will the points (-1,x),(-3,2) and (-4,4) lie on a line?

If $$\left|( {adj\,A}) \right| = 81,$$ for $$3 \times 3$$ matrix, then det $$A$$ is equal to 

The point $$(x_{1}, y_{1}), (x_{2}, y_{2}), (x_{1}, y_{2})$$ & $$(x_{2}, y_{1})$$ are always

$$|A|=6$$ and $$A$$ is $$3\times 3$$ matrix then $$det(2\ adj(2(A^{-1})^{T}))=$$

Find the value of $$\begin{vmatrix} 5 & 3 \\ -7 & -4 \end{vmatrix}$$

If a determinant of order $$3\times 3$$ is formed by using the numbers $$1$$ or $$-1$$, then the minimum value of the determinant is?