If a matrix $A$ is such that $3A^3 + 2A^2 + 5A + I = 0$,then its inverse is

Let $P = [a_{ij}]$ be a $4 \times 4$ matrix. If $|P| = -2$,then the value of $|adj(3P)|$ is (where $|A|$ denotes the determinant value of matrix $A$).

Using elementary transformations,find the inverse of the following matrix,if it exists: $A = \left[\begin{array}{ccc} 0 & 1 & 2 \\ 1 & 2 & 3 \\ 3 & 1 & 1 \end{array}\right]$

If $A$ is a $3 \times 3$ non-singular matrix and if $|A|=3$,then $|(2A)^{-1}|$ is

If $A = \begin{bmatrix} 3 & 4 \\ 5 & 7 \end{bmatrix}$,then $A(adj A) = $

If $AB = \begin{bmatrix} -6 & 26 \\ -1 & 19 \end{bmatrix}$ and $11B^{-1} = \begin{bmatrix} 5 & -3 \\ 2 & 1 \end{bmatrix}$,then $A = $ . . . . . . .