Skew-Symmetric Matrix

Rarely Tested

Skew-Symmetric Matrix

## Definition / Concept

A square matrix $$a$$ is skew-symmetric if:

$$A^T=-A$$

Therefore:

$$a_{ij}=-a_{ji}$$

For diagonal elements:

$$a_{ii}=0$$

## Usage

- Used to identify matrices whose transpose is equal to their negative.

No related questions available for this formula yet.

Go back to topics

Join CAT 2026 course by 5-Time CAT 100%iler

Start your IIM journey with the right preparation and crack CAT 2026.