A matrix is said to be skew symmetric if the transpose of the matrix is equal to the negative of the matrix. This means that A’ = -A.
Now, we know that the transpose of matrix A is
Now if we carefully look at the equation 2 we can rewrite it as
So, A’ = (-1) × A (from equation 1)
⇒ A’ = -A, hence we can say that Matrix A is a skew symmetric matrix.
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