Matrix transpose operation

Matrix transpose operation rules:

(1) \((A+B)^T\) = \(A^T+B^T\)

(2) \((\lambda A)^T\) = \(\lambda A^T\)

(3) \((AB)^T\) = \(B^TA^T\)

(4) \((A^T)^T\) = \(A\)