Question 1 :
If $A = \displaystyle \left[ \begin{matrix} 1 &2 \\ 3& 4 \end{matrix} \right] $, then number of elements in $A$ are

Question 2 :
If $\begin{bmatrix} x & 2 \\ 18 & x \end{bmatrix}=\begin{bmatrix} 6 & 2 \\ 18 & 6 \end{bmatrix}$, then x =

Question 3 :
If matrix $A$ is of order $p\times q$ and matrix $B$ is of order $r\times s$ ,then $A-B$ will exist if

Question 4 :
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 5 :
If $\displaystyle A=\begin{bmatrix}x &y \\z  &w \end{bmatrix},B=\begin{bmatrix}x &-y \\-z  &w \end{bmatrix}$ and $C=\begin{bmatrix}-2x &0 \\0  &-2w \end{bmatrix},$ then $A+B+C$ is a:

Question 6 :
$A = \begin{bmatrix} 2 & 3& 1\\4&1&5\\3&9&7\end{bmatrix}$. Then the additive inverse of $A$ is

Question 7 :
$A=\left[\begin{array}{lll} 0 &amp; 1 &amp; -2\\1 &amp; 0 &amp; 3\\2 &amp;-3 &amp; 0 \end{array}\right]$ then $\mathrm{A}+\mathrm{A}^{\mathrm{T}}=$<br/>

Question 8 :
The matrix $A = \begin{bmatrix}1&#160;&amp; 0 &amp; 0\\ 0&#160;&amp; 2 &amp; 0\\ 0&#160;&amp; 0 &amp;4&#160;\end{bmatrix}$ is a/an<br/>

Question 9 :
If order of a matrix is $3 \times 3$, then it is a

Question 11 :
The value of $x$ satisfying the equation $2\displaystyle &#160;\begin{bmatrix} 3 &amp; 1 &#160; \\ 1 &amp; 2 &#160; \end{bmatrix}&#160; + $ $\displaystyle &#160;\begin{bmatrix} x^{2} &amp; 9 &#160; \\ -1 &amp; 0 &#160; \end{bmatrix}&#160; = $ $\displaystyle &#160;\begin{bmatrix} 5x &amp; 6 &#160; \\ 0 &amp; 1&#160; \end{bmatrix}&#160; &#160;+ $ $\displaystyle &#160;\begin{bmatrix} 0 &amp; 5 &#160; \\ 1 &amp; 3 &#160; \end{bmatrix} &#160; $are

Question 12 :
If $P=\displaystyle &#160;\begin{bmatrix} 4 &amp; 3 &amp;2 &#160; \end{bmatrix} &#160;$ and $Q = \displaystyle &#160;\begin{bmatrix} -1 &amp; 2 &amp;3 &#160; \end{bmatrix}&#160; ,$ then $P-Q=$

Question 13 :
In an upper triangular&#160; matrix $A=\left[ a_{ ij } \right] _{ n\times n }$ the elements $a_{ij}=0$ for

Question 14 :
If $A=\begin{bmatrix} \cos { \theta &nbsp;} &nbsp;&amp; -\sin { \theta &nbsp;} &nbsp;\\ \sin { \theta &nbsp;} &nbsp;&amp; \cos { \theta &nbsp;} &nbsp;\end{bmatrix}$, then $A{A}^{T}$ equals

Question 15 :
If $X$ and $Y$ are the matrices of order $2 \times 2$ each and $2X - 3Y = \begin{bmatrix}-7 &amp; 0\\ 7 &amp; -13\end{bmatrix}$ and $3X + 2Y = \begin{bmatrix}9 &amp; 13 \\ 4 &amp; 13\end{bmatrix}$, then what is $Y$ equal to?

Question 16 :
<span>If $A=\displaystyle \left[ \begin{matrix} 1 &amp;2 \\ 3&amp; 4 \end{matrix} \right]&#160;$, then which of the following is not an element of $A$?</span>

Question 18 :
Given that $\displaystyle M=\begin{bmatrix}3 &amp;-2 \\-4&#160;&#160;&amp;0&#160;\end{bmatrix}\:and\:N=\begin{bmatrix}-2 &amp;2 \\5&#160;&#160;&amp;0 \end{bmatrix}$<span>, then $M+N$ is a&#160;</span>

Question 20 :
If $5A=\begin{bmatrix} 3 &amp; -4\\ 4 &amp; x\end{bmatrix}$ and $AA^T=A^TA=I$ then $x=?$