ITA 2006 — Questão 27

Sejam as matrizes

$A = \begin{bmatrix} 1 & 0 & 1/2 & -1 \\ -2 & 5 & 2 & -3 \\ 1 & -1 & 2 & 1 \\ -5 & 1 & 3/2 & 0 \end{bmatrix} \quad \text{e} \quad B = \begin{bmatrix} 1 & 3 & -1/2 & 1 \\ 1 & -2 & -2 & 3 \\ -1 & 1 & 1 & 1 \\ 5 & -1 & 1/2 & 5 \end{bmatrix}$

Determine o elemento $C_{34}$ da matriz $C = (A + B)^{-1}$.