00:02
In this question it is given that let b be a skew symmetric matrix and here we need to prove that i negative b is non -singular.
00:39
So this is first part.
00:42
So for proving it, let b be a matrix which is a skew symmetric.
00:53
So we are going to take a b as 0, 1, 2, negative 1, 0, 0, 3, negative 2, negative 3 and 0.
01:05
So now we'll evaluate i, negative b, that is, i will be identity matrix, that is 1 ,0, 010, 010 ,001, and here b will be 012, 012, 0 ,0, and here b will be 012, 012, negative 1 ,0 ,0, and here, b will be 012, negative 1, negative 1 ,000.
01:26
0, 3, negative 2, negative 3 and 0.
01:32
So here on subtracting them we get a required matrix as 1, negative 1, negative 2...