If $A=\left[\begin{array}{ccc}0 & 1+2 i & i-2 \\ -1-2 i & 0 & K \\ 2-1 & 7 & 0\end{array}\right]$ and…

If $A=\left[\begin{array}{ccc}0 & 1+2 i & i-2 \\ -1-2 i & 0 & K \\ 2-1 & 7 & 0\end{array}\right]$ and $A^{-1}$ does not exists, then $K=$ (where $\mathrm{i}=\sqrt{-1}$ )
  1. $1+2 i$
  2. $-7$
  3. $7$
  4. $1-2 i$

Solution

The inverse of an order skew-symmetric does not exist Hence, $\mathrm{K}=-7$

Asked in: MHT CET 2022 (05 Aug Shift 2)

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