R D Sharma Solutions for Chapter: Adjoint and Inverse of a Matrix, Exercise 1: MULTIPLE CHOICE QUESTIONS (MCQs)

If$A$ is a square matrix of order $3$ such that $\left|A\right|=5,$write the value of $|adjA|$

If $A$ is a square matrix of order $3$ such that $\left|A\right|=2$, then write the value of $adj(adjA)$

If $A$ is a square matrix of order $3$ such that $\left|A\right|=3,$ then find the value of $\left|adj(adjA)\right|$

 If $A$is a square matrix such that $\left(AadjA\right)=\left[\begin{array}{lll}5& 0& 0\\ 0& 5& 0\\ 0& 0& 5\end{array}\right]$ then write the value of $|adjA|$
 

If $C_{ij}$ is the cofactor of the element $a_{ij}$ of the matrix $A=\left[\begin{array}{rrr}2& -3& 5\\ 6& 0& 4\\ 1& 5& -7\end{array}\right]$ then write the value of $a_{32}{C}_{32}$

If $A=\left[\begin{array}{rr}3& 1\\ 2& -3\end{array}\right]$  then find $|adjA|$

If $A$ and $B$ are invertible matrices, which of the following statement is not correct.

If $x, y, z$ are non-zero real numbers, then the inverse of the matrix $A=\left[\begin{array}{lll}x& 0& 0\\ 0& y& 0\\ 0& 0& z\end{array}\right]$ is