If $A=\left[\begin{array}{cc}-2 & 1 \\ 3 & 4\end{array}\right]$ and $\mathrm{A}=\mathrm{P}+\mathrm{Q}$,…

If $A=\left[\begin{array}{cc}-2 & 1 \\ 3 & 4\end{array}\right]$ and $\mathrm{A}=\mathrm{P}+\mathrm{Q}$, where $\mathrm{P}$ is symmetric matrix and $\mathrm{Q}$ is Skew-Symmetric matrix; then Q is
  1. $\left[\begin{array}{cc}0 & -2 \\ 2 & 0\end{array}\right]$
  2. $\left[\begin{array}{cc}0 & 2 \\ -2 & 0\end{array}\right]$
  3. $\left[\begin{array}{cc}0 & -1 \\ 1 & 0\end{array}\right]$
  4. $\left[\begin{array}{cc}0 & 1 \\ -1 & 0\end{array}\right]$

Solution

No solution. Refer to answer key.

Asked in: AP EAMCET 2017 (26 Apr Shift 2)

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