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$\mathbf{P}$ and $\mathbf{Q}$ are square matrices. Consider the following

$\mathrm{X}:\left(\mathbf{P}^{-\mathbf{1}}\right)^{-1}=\mathbf{P}$

Y: Symmetric if $\mathbf{Q}=-\mathbf{Q}^{\mathrm{T}}$

The correct choice is

  1. $\mathrm{X}$ is TRUE; $\mathrm{Y}$ is FALSE
  2. $\mathrm{X}$ is FALSE; $\mathrm{Y}$ is TRUE
  3. Both $\mathrm{X}$ and $\mathrm{Y}$ are TRUE
  4. Both $\mathrm{X}$ and $\mathrm{Y}$ are FALSE

 

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