Let
A=(2−13140521),b=(954)A = \begin{pmatrix} 2 & -1 & 3 \\ 1 & 4 & 0 \\ 5 & 2 & 1 \end{pmatrix}, \qquad b = \begin{pmatrix} 9 \\ 5 \\ 4 \end{pmatrix}A=215−142301,b=954
The inverse of a 3×33\times 33×3 matrix is
A−1=1det(A) adj(A)A^{-1} = \frac{1}{\det(A)}\,\operatorname{adj}(A)A−1=det(A)1adj(A)
where adj(A)\operatorname{adj}(A)adj(A) is the adjugate of AAA.
Let x=A−1bx = A^{-1}bx=A−1b.
What is x2x_2x2, the second component of xxx? Round your answer to 3 decimal places.