1.4.16 Matrix transformations

Condition: a) Check the validity of the equality \( (N \cdot P)^{T}=P^{T} \cdot N^{T} \) for matrices: \[ N=\left(\begin{array}{lll} 0 & -1 & 0 \\ 3 & -2 & 1 \end{array}\right), P=\left(\begin{array}{cc} -1 & 1 \\ 0 & 1 \\ 2 & 0 \end{array}\right) \] b) Is it true that if the matrix product \( C \cdot D \) is defined, then \( \left(D^{T} \cdot C^{T}\right)^{T}=C \cdot D \), justify the answer.