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.
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CAT Formulas
Matrices & Determinants
Skew-Symmetric Matrix
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.
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