Mathematics 4024 · O Level · Introduction to algebra

Introduction to algebra — practice question

(a)[1]

With $M = \begin{pmatrix}5 & 1 \\ 2 & 3\end{pmatrix}$ and $N = \begin{pmatrix}4 & -2 \\ 3 & 0\end{pmatrix}$, find the matrix $M - N$.

(b)[2]

With $P = \begin{pmatrix}2 & 4 \\ c & -5\end{pmatrix}$, $Q = \begin{pmatrix}3 & 2 \\ -2 & d\end{pmatrix}$ and $PQ = \begin{pmatrix}-2 & 0 \\ 19 & 11\end{pmatrix}$, determine the value of $c$ and the value of $d$.

Worked solution & mark scheme

This 3-mark question has a full step-by-step worked solution and mark scheme. One marking point: $\begin{pmatrix}1&3\\-1&3\end{pmatrix}$

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