# Find the values of x

Given the matrices

A=$\begin{pmatrix} 1-x & 1 & 0 \\ 1 & 1-x & 0 \\ -1 & x-1 & x \end{pmatrix}$  and B(x)= $\begin{pmatrix} 1 & 1 & x \\ -1 & x & 0 \\ -1 & x^{2} & x \end{pmatrix}$   ,   x ? R

a) Find the values of  x, at which   $det(A^{T}(x))?det(?B(x))$

b) Find the values of  x, at which    rankA(x) ? rankB(x) = 2

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