|Class 12 Maths Matrices||Skew Symmetric Matrices|
Skew Symmetric Matrices (Square Matrix)
A square matrix A = [aij] is said to be skew symmetric matrix if A′ = – A, that is aji = – aij for all possible values of i and j.
Now, if we put i = j, we have aii = – aii. Therefore 2aii = 0 or aii = 0 for all i’s.
This means that all the diagonal elements of a skew symmetric matrix are zero.
Solution: Notice that aji = – aij for all possible values of i and j. Thus it is a skew symmeticmatrix.