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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