Consider the matrix A=(010001100)A = \begin{pmatrix} 0 & 1 & 0 \\ 0 & 0 & 1 \\ 1 & 0 & 0 \end{pmatrix}A=001100010. Which of the following statements are true about AAA?
A3=IA^3 = IA3=I
AAA is an orthogonal matrix
A2=ATA^2 = A^TA2=AT
det(A)=0\det(A) = 0det(A)=0