Question

Define skew-symmetric matrix and give one example​

Answer 1

If the transpose of a matrix is equal to the negative of itself, the matrix is said to be skew symmetric. This means that for a matrix to be skew symmetric, A'=-A. Also, for the matrix,a_{ji} = – a_{ij}(for all the values of i and j). The diagonal elements of a skew symmetric matrix are equal to zero.

Answer 2

We can say that matrix A is said to be skew-symmetric if transpose of matrix A is equal to negative of matrix A i.e (AT =−A). Note that all the main diagonal elements in the skew-symmetric matrix are zero. Let's take an example of a matrix. It is skew-symmetric matrix because aij =−aji for all i and j.