Let A=⎡⎢⎣2070101−21⎤⎥⎦ and B=⎡⎢⎣−x14x7x010x−4x−2x⎤⎥⎦ be two matrices such that AB=(AB)−1 and AB≠I, where I is an identity matrix of order 3×3. Then the value of tr(AB+(AB)2+(AB)3+⋯+(AB)100) is
( Here, tr(A) denotes the trace of matrix A, i.e., sum of diagonal elements of A.)