Given A=(1234)A = \begin{pmatrix} 1 & 2 \\ 3 & 4 \end{pmatrix}A=(1324), consider the matrix B=A3−5A2+2IB = A^3 - 5A^2 + 2IB=A3−5A2+2I. What is the value of det(B)\det(B)det(B)?
444
000
−2-2−2
111