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Solve the following.
For what value of x, is A = [0 1 -2; -1 0 3; x -3 0] a skew symmetric matrix?
For what value of $x$, is $A = \begin{bmatrix} 0 & 1 & -2 \\ -1 & 0 & 3 \\ x & -3 & 0 \end{bmatrix}$ a skew symmetric matrix?
Answer
Answer
For a skew symmetric matrix $a_{ij}=-a_{ji}$, so $a_{31}=-a_{13}=2$.
Hence $x=2$.
Final answer: 2