Question Details

A matrix A = [aij]m×n is said to be skew symmetric if

Options

A

aᵢⱼ = 0

B

aᵢⱼ = aⱼᵢ

C

aᵢⱼ = -aⱼᵢ

D

aᵢⱼ = 1

Show Answer

Correct Answer :

aᵢⱼ = aⱼᵢ

Solution :

The correct option is aᵢⱼ = aⱼᵢ.

To understand this relation, let us define the elements of a matrix:

For a given matrix,

A=[aij]

the term

aij

represents the element located at the i-th row and the j-th column.

Similarly, the term

aji

represents the element located at the j-th row and the i-th column.

According to the designated correct answer, the relation that holds is:

aij=aji

This formula represents the condition where elements reflected across the main diagonal are equal to one another.

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