Matrix \(R\) is a column matrix.

\begin{align*}
R=\begin{bmatrix}
T \\
A \\
L \\
L \\
Y
\end{bmatrix}
\end{align*}

A permutation matrix, \(P\), is multiplied by matrix \(R\) to form the product matrix  \(Q=P R\).

If \(Q\) is equal to \(R\), how many different permutation matrices could have been used?

1. 1
2. 2
3. 3
4. 4
5. 5

Matrix `P` is a 4 × 4 permutation matrix.

Matrix `W` is another matrix such that the matrix product `P × W` is defined.

This matrix product results in the entire first and third rows of matrix `W` being swapped.

The permutation matrix `P` is