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.

 

Numerical:

 

Solution: Notice that aji = – aij for all possible values of i and j. Thus it is a skew symmeticmatrix.

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