Question 1 :
If $A = {\left( {{a_{ij}}} \right)_{2 \times 2}}$, where ${a_{ij}} = i + j$, then $A$ is equal to:<br/>
Question 2 :
If A=$\displaystyle \begin{vmatrix} 0 & 1 \\ 2 & 4 \end{vmatrix} $, B=$\displaystyle \begin{vmatrix} -1 & 1 \\ 2 & 2 \end{vmatrix} $,<br>C=$\displaystyle \begin{vmatrix} 1 & 0 \\ 1 & 0 \end{vmatrix} $, then 2A+3B-C=<br>
Question 3 :
The number of all possible matrices of order $3 \times 3$ with each entry $0$ or $1$ is:
Question 4 :
If $m[-3\ \ \ 4]+n[4\ \ \ -3]=[10\ \ \ -11]$ then $3m+7n=$
Question 5 :
If $A+B = \begin{bmatrix}1 & 0 \\ 1 & 1\end{bmatrix}$ and $A-2B = \begin{bmatrix}-1 & 1 \\ 0 & -1\end{bmatrix}$, then $A$ =
Question 6 :
The Inverse of a square matrix, if it exist is unique.
Question 7 :
${a}^{-1}+{b}^{-1}+{c}^{-1}=0$ such that $\begin{vmatrix} 1+a & 1 & 1 \\ 1 & 1+b & 1 \\ 1 & 1 & 1+c \end{vmatrix}=\triangle$  then the value of $\triangle$  is
Question 8 :
If A=$\displaystyle \begin{vmatrix} 2 & -3 \\ 3 & 2 \end{vmatrix} $ and B=$\displaystyle \begin{vmatrix} 3 & -2 \\ 2 & 3 \end{vmatrix} $ then 2A-B=
Question 9 :
If $A = \begin{bmatrix} 0 & 2 & 3 \\ 3 & 5 & 7 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 3 & 7 \\ 2 & 4 & 1 \end{bmatrix}$,  if $A+B = \begin{bmatrix} 1 & 5 & 10 \\ 5 & k & 8 \end{bmatrix} \\ $<br/>Find the value of k 
Question 10 :
Construct the matrix of order $3 \times 2$ whose elements are given by $a_{ij} = 2i - j$
Question 11 :
If every row of a matrix $A$ contains $p$ elements and its column contains $q$ elements, then the order of $A$ is
Question 12 :
Suppose $A$ is any $3\times 3$ non-singular matrix and $(A-3I)(A-5I)=O$, where $I=I_{3}$ and $O=O_{3}$, If $\alpha A+\beta A^{-1}=4I$, then $\alpha+\beta$ is equal to :
Question 13 :
Let  $A$  be a matrix such that  $A \cdot \left[ \begin{array} { c c } { 1 } & { 2 } \\ { 0 } & { 3 } \end{array} \right]$  is a scalar matrix and  $| 3 A | = 108 .$  Then    $A \cdot \left[ \begin{array} { c c } { 1 } & { 2 } \\ { 0 } & { 3 } \end{array} \right]$is equal to
Question 14 :
If $A=\begin{bmatrix} { a }^{ 2 } & ab & ac \\ ab & { b }^{ 2 } & bc \\ ac & bc & { c }^{ 2 } \end{bmatrix}$ and ${a}^{2}+{b}^{2}+{c}^{2}=1$ then ${A}^{2}=$
Question 15 : <p>The possibility for the formation of rectangular matrices in the matrix algebra are</p>
Question 16 :
If $A= [ 1 \ 2\  3 ]$, then the set of elements of A is
Question 17 :
The number of possible orders of a matrix containing $24$ elements are:
Question 18 :
If $A = \begin{bmatrix}1 & -2 \\ 3 & 0\end{bmatrix}, \space B = \begin{bmatrix}-1 & 4 \\ 2 & 3\end{bmatrix},\space C = \begin{bmatrix}0 & 1 \\ -1 & 0\end{bmatrix}$, then $5A - 3B + 2C =$
Question 19 :
IF A=$\displaystyle \begin{vmatrix} 1 & 0 \\ 1 & 0 \end{vmatrix} $ And B=$\displaystyle \begin{vmatrix} 1 & 0 \\ 0 & 1 \end{vmatrix} $ then A+B=
Question 20 :
If $\displaystyle \begin{vmatrix} a & b &0\\ 0 & a & b\\b&a&0\end{vmatrix}= 0$, then the order is:
Question 21 :
If $\displaystyle A=\left [ a_{ij} \right ]_{m\times\:n'}B=\left [ b_{ij} \right ]_{m\times\:n'}$ then the element $\displaystyle C_{23}$ of the matrix $C=A+B$, is:
Question 22 :
If $ A= \begin{bmatrix} 1 & 2\end{bmatrix}, B=\begin{bmatrix} 3 & 4\end{bmatrix}$ then $A+B=$
Question 23 :
If $\displaystyle  \begin{vmatrix} x & y   \\ 1 & 6   \end{vmatrix} $ = $\displaystyle  \begin{vmatrix} 1 & 8   \\ 1 & 6   \end{vmatrix} $ then x+2y=
Question 24 :
A matrix having $m$ rows and $n$ columns with $m=n$ is said to be a 
Question 26 :
If P=$\displaystyle  \begin{bmatrix} 4 & 3 &2   \end{bmatrix}  $ and Q=$\displaystyle  \begin{bmatrix} -1 & 2 &3   \end{bmatrix}  $ then P-Q=
Question 27 :
The number of different possible orders of matrices having 18 identical elements is
Question 28 :
If $\begin{bmatrix}r+4 & 6 \\3 & 3\end{bmatrix} = \begin{bmatrix} 5 & r+5 \\ r+2 & 4 \end{bmatrix}$ then $r= $ <br/>
Question 30 :
If a matrix has $13$ elements, then the possible<br>dimensions (orders) of the matrix are
Question 31 :
If $A= [a_{ij}]_{2 \times 2}$ and $a_{ij} = i + j$, then A = <br>
Question 32 :
If $A=\begin{pmatrix} 7 & 2 \\ 1 & 3 \end{pmatrix}$ and $A+B=\begin{pmatrix} -1 & 0 \\ 2 & -4 \end{pmatrix}$ then matrix $B=$?
Question 33 :
If $\bigl(\begin{smallmatrix} 3x+ 7& 5 \\ y + 1 & 2 - 3x\end{smallmatrix}\bigr) = \bigl(\begin{smallmatrix}1 & y - 2 \\ 8 & 8\end{smallmatrix}\bigr)$ then the values of x and y respectively are<br>
Question 34 :
The possible number of different orders that a matrix can have when it has 24 elements,is
Question 35 :
If $\begin{vmatrix} x-4 & 2x & 2x \\ 2x & x-4 & 2x \\ 2x & 2x & x-4 \end{vmatrix}$ = $(A+Bx)(x-A)^2$,<br>then the ordered pair $(A , B)$ is equal to:
Question 36 :
A is of order $m \times n$ and B is of order $p \times q$, addition of A and B is possible only if<br>
Question 37 :
Let $A = \begin{bmatrix} -2 & 7 & \sqrt{ 3}  \\ 0 & 0 & -2 \\ 0 & 2 & 0 \end{bmatrix} $  and $A^4 = \lambda$. I, then $\lambda $ is
Question 38 :
If the number of elements in a matrix is $60$ then how many different order of matrix are possible 
Question 39 :
If A =$\begin{bmatrix}1 & 2 \\ 3 & 4 \end{bmatrix}$, B =$\begin{bmatrix}2 & 3 \\ 4 & 5 \end{bmatrix}$, and 4A - 3B + C = 0, then C =
Question 40 :
Let $n\ge 2$ be an integer,<br/>$A=\begin{bmatrix} \cos { \left( { \dfrac{2\pi}n} \right)  }  & \sin { \left(\dfrac{2\pi}n \right)  }  & 0 \\ -\sin { \left( \dfrac{2\pi}n \right)  }  & \cos { \left(\dfrac{2\pi}n \right)  }  & 0 \\ 0 & 0 & 1 \end{bmatrix}$ and $I$ is the identity matrix of order $3$., then following of which is correct
