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## Homework Statement

P=\begin{pmatrix}3 & -1\\

2 & 4

\end{pmatrix}

Q=\begin{pmatrix}4 & -1\\

-2 & 1

\end{pmatrix}

R=\begin{pmatrix}3 & -3\\

2 & 4

\end{pmatrix}

S=\begin{pmatrix}4 & 7\\

9 & 1

\end{pmatrix}

PX = Q

QY = R

RZ = S

Find Matrices X, Y, and Z.

## Homework Equations

ad - bc = det

How do I use things regarding the topic of determinants and inverses of matrices to solve this question?

Cheers,

Thorn