(a)[2]
Calculate $PQ$.
(b)[2]
Calculate $Q^{-1}$.
(c)[3]
Find the values of $u$ and $v$.
(d)[2]
Calculate $w$.
Mathematics 0580 · IGCSE · Algebraic manipulation
Algebraic manipulation — practice question
Take $P=\begin{pmatrix}2 & 3\\1 & 4\end{pmatrix}$, $Q=\begin{pmatrix}1 & 2\\0 & 3\end{pmatrix}$, $R=\begin{pmatrix}0 & u\\1 & v\end{pmatrix}$, and $S=\begin{pmatrix}w & 3\\8 & 2\end{pmatrix}$.