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.
Sign in
Please select an account to continue using cracku.in
↓ →
CAT Formulas
Matrices & Determinants
Properties of Transpose
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.
Start your IIM journey with the right preparation and crack CAT 2026.
Educational materials for CAT preparation