In the name of ALLAH, the most beneficient, the most merciful

Linear Algebra (MTH501)

Question (select most suitable option)

  If \( X =\begin{bmatrix} M \\ N \\ \end{bmatrix} \) and \( Y= \begin{bmatrix} Q & P \\ \end{bmatrix} \) (Whare \(\mathbf{M, N, Q}\) and \(\mathbf{P}\) are saqure sub-matrices of same size), then Which of the following is possible?
The product \(\mathbf{XY}\) and \(\mathbf{YX}\) both are not defined
The product \(\mathbf{XY}\) and \(\mathbf{YX}\) both are defined
The product \(\mathbf{XY}\) is defied but \(\mathbf{YX}\) is not defined
None of the given