Mathematics 0580: MATRICES Topical Past Paper Questions

(a) Work out the inverse of the matrix $ \begin{pmatrix} -3 & 10 \\ 1 & -5 \end{pmatrix} $. $ \begin{pmatrix} \quad & \quad & \quad \\ &\quad & \quad & \\ &\quad & \quad & \\ &\quad & \quad & \\ &\quad & & \end{pmatrix} $ [2] (b) Work out the value of x and the value of y in this…

$$ \mathbf{P}=\left(\begin{matrix}{3}&{1}\\ {2}&{3}\\ \end{matrix}\right)\quad\mathbf{Q}=\left(\begin{matrix}{}&{1}&{2}\\ {-1}&{4}\\ \end{matrix}\right) $$ Find (a) 3P $$ \begin{array}{l} 3\mathbf{P}=\\ \hline \end{array} \quad \left(\begin{array}{cc} {⋰}&{⋰}\\{⋰}&{⋰} \end{array}…

(a) Draw the image of (i) triangle A after a reflection in the line x = 0, (ii) triangle A after an enlargement, scale factor 2, centre (0, 4), [2] (iii) triangle $A$ after a translation by the vector $\begin{pmatrix}-5\\3\end{pmatrix}$. (iii) triangle A after a translation by th…