Lecture on Transpose
Content covered:

Transpose of a matrix is a matrix formed by interchanging rows and columns.

$A= \begin{bmatrix}a&b&c\\d&e&f\end{bmatrix}$ then $A'= \begin{bmatrix}a&d\\b&e\\c&f\end{bmatrix}$

Properties of transpose are:

1. $(A')'=A$
2. $(A+B)'=A'+B'$
3. $k(A')=(kA)'$
4. $(AB)'=B'A'$