Consider the following statements in respect of a non-singular...

Consider the following statements in respect of a non-singular matrix A of order $n$ : 1. $\mathrm{A}\left(\operatorname{adj} \mathrm{A}^{\mathrm{T}}\right)=\mathrm{A}(\operatorname{adj} \mathrm{A})^{\mathrm{T}} 2. If \mathrm{A}^2=\mathrm{A}$, then A is identity matrix of order $n 3. If \mathrm{A}^3=\mathrm{A}$, then A is identity matrix of order $n$ Which of the statements given above are correct?