Matrices Test -...

If $$A=\begin{bmatrix} 2 & 3 \\ 1 & 2 \end{bmatrix}$$ and $$B=\begin{bmatrix} 1 & 3 & 2 \\ 2 & 3 & 4 \end{bmatrix}$$, then $$AB$$ equal to 

For square matrix $$A$$, $$A{A}^{T}$$ is-

If $$\begin{bmatrix} x & y \\ u & v \end{bmatrix}$$ is symmetric matrix, then

If $$A= \displaystyle  \begin{bmatrix} 1  \\  3  \end{bmatrix}   $$ and  $$B= \displaystyle  \begin{bmatrix} -1  \\  4  \end{bmatrix} , $$ then $$A-B =$$

If $$\displaystyle  \begin{bmatrix} 2 & 3   \\ 4 & 4   \end{bmatrix} $$+$$\displaystyle  \begin{bmatrix} x & 3   \\ y & 1   \end{bmatrix} $$=$$\displaystyle  \begin{bmatrix} 10 & 6   \\ 8 & 5   \end{bmatrix},$$ then $$(x,y)=$$

If $$\displaystyle 2\begin{bmatrix}3 &4 \\5  &x \end{bmatrix}+\begin{bmatrix}1 &y \\0  &2 \end{bmatrix}=\begin{bmatrix}7 &0 \\10  &5 \end{bmatrix}$$, then the values of $$x\ and\ y$$ are :

If $$A= \displaystyle  \begin{bmatrix} 1 & 0   \\ 1 & 0   \end{bmatrix}  $$ and B=$$\displaystyle  \begin{bmatrix} 1 & 0   \\ 0 & 1   \end{bmatrix}, $$ then $$A+B=$$

If $$P=\displaystyle  \begin{bmatrix} 4 & 3 &2   \end{bmatrix}  $$ and $$Q = \displaystyle  \begin{bmatrix} -1 & 2 &3   \end{bmatrix}  ,$$ then $$P-Q=$$

If A is any square matrix, then $$(A\, +\, A^T)$$ is a ............ matrix 

Two matrices $$A$$ and $$B$$ are added if