# 29. Consider the matrix: $j_6= \begin{vmatrix... 29. Consider the matrix: \(j_6= \begin{vmatrix}0&0&0&0&0&1\\0&0&0&0&1&0\\0&0&0&1&0&0\\0&0&1&0&0&0\\0&1&0&0&0&0\\1&0&0&0&0&0\end{vmatrix}$

Which is obtained by  reversing  the order of the columns of the identity matrix  I6 .  Let P=I6 + αJ6 where α is a non-negative real number. The value of α for which det(P) = 0 is ___________.