Let $A$ and $B$ be two symmetric matrices of order $3.$

Statement $-1$: $A(BA)$ and $(AB)A$ are symmetric matrices.

Statement $-2:$ $AB$ is symmetric matrix if matrix multiplication of $A$ with $B$ is commutative.

Matrix ${A_\lambda } = \left[ {\begin{array}{*{20}{c}}
  \lambda &{\lambda  – 1} \\ 
  {\lambda  – 1}&\lambda  
\end{array}} \right],\lambda  \in N$ then the value of $\left| {{A_1}} \right| + \left| {{A_2}} \right| + \left| {{A_3}} \right| + ……. + \left| {{A_{300}}} \right|$ is

If $A$ and $B$ are $3 \times 3$matrices such that $AB = A$ and $BA = B$, then

If $A =$ $\left( {\begin{array}{*{20}{c}}a&b\\c&d\end{array}} \right)$  satisfies the equation $x^2 – (a + d) x + k = 0$, then

Assume $X,\, Y,\, Z, W$ and $P$ are the matrices of order $2 \times n, \,3 \times k,\, 2 \times p, \,n \times 3$ and $p \times k$ respectively. The restriction on $n,\, k$ and $p$ so that $P Y+W Y$ will be defined are :