Question

For what value of k the matrix `[(0, k),(-6, 0)]` is a skew symmetric matrix?

Answer 1

Let A = `[(0, k),(-6, 0)]`

∴ A^T = `[(0, -6),(k, 0)]`

Given A is a skew-symmetric matrix.

∴ A^T =  – A

`[(0, -6),(k, 0)] = -[(0, k),(-6, 0)]`

= `[(0, -k),(6, 0)]`

On equating the corresponding entries,

k = 6