Properties of Transpose

Rarely Tested

Properties of Transpose

## Formula

$$\left(A^T\right)^T=A$$

$$(A+B)^T=A^T+B^T$$

$$(A-B)^T=A^T-B^T$$

$$(kA)^T=kA^T$$

$$(AB)^T=B^TA^T$$

## Usage

- Used to simplify expressions involving transposes, especially products of matrices.

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