(a(i))[1]
Work out the product $BA$.
(a(ii))[1]
Calculate $2A$.
(a(iii))[2]
Calculate $CD$.
(a(iv))[2]
Calculate $DC$.
(a(v))[2]
Calculate $B^2$.
(b)[2]
Find the inverse of $B$, namely $B^{-1}$.
Mathematics 0580 · IGCSE · Algebraic manipulation
Algebraic manipulation — practice question
Take $A = \begin{pmatrix}2 & 0\\ -1 & 5\\ 3 & -4\end{pmatrix}$, $B = \begin{pmatrix}1 & 3\\ -1 & 5\end{pmatrix}$, $C = \begin{pmatrix}7\\ -4\end{pmatrix}$ and $D = (2\ 5)$.