If $A = \begin{bmatrix} 4 & 0 & 0 \\ 0 & 3 & 0 \\ 0 & 0 & 2 \end{bmatrix}$ and $B = \begin{bmatrix} 1 & 0 & 0 \\ 0 & 2 & 0 \\ 0 & 0 & 3 \end{bmatrix}$,then $(A+B)^{-1} = $ . . . . . . .

  • A
    $\frac{1}{25} I_3$
  • B
    $\frac{1}{5} I_3$
  • C
    $-\frac{1}{5} I_3$
  • D
    $-\frac{1}{25} I_3$

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