Mathematics B 9-1 4MB1: Matrices Topical Past Paper Questions

Triangle A and triangle E are drawn on the grid opposite. (a) Describe fully the single transformation that maps triangle A onto triangle E (3) Triangle A is transformed to triangle B under the translation $ \begin{pmatrix} 6 \\ -2 \end{pmatrix} $ (b) On the grid, draw and label…

$$ \mathbf{A}=\begin{pmatrix}{{{10}}}&{{{-6}}} \\{{{-8}}}&{{{5}}}\end{pmatrix}\qquad\mathbf{B}=\begin{pmatrix}{{{-15}}}&{{{10}}} \\{{{14}}}&{{{-5}}}\end{pmatrix}\qquad\mathbf{C}=\begin{pmatrix}{{{1}}}&{{{-3}}}&{{{1}}} \\{{{2}}}&{{{-4}}}&{{{-2}}}\end{pmatrix} $$ (a) Find $ 4A + 2B…

$$ \mathbf{A}=\begin{pmatrix}3&1\\ 5&2\end{pmatrix}\quad\mathbf{B}=\begin{pmatrix}5&1\\ 5&4\end{pmatrix}\quad\mathbf{C}=\begin{pmatrix}2&-1\\ -5&3\end{pmatrix} $$ (a) Show that C is the inverse of A (2) $ \mathbf{AB} = \mathbf{D} $ (b) (i) Find D $$ \begin{aligned}&\mathbf{D}=\be…