(a)[2]
Calculate the matrix $2A - B$.
(b)[2]
Find the matrix $A^2$.
(c)[2]
Find the inverse matrix $B^{-1}$.
(d)[1]
Given $A + Z = A$. Find $Z$.
(e)[2]
Given $M + 2I = B$, where $I$ denotes the $2 \times 2$ identity matrix. Find $M$.
Mathematics 4024 · O Level · Introduction to algebra
Introduction to algebra — practice question
The matrices are $A = \begin{pmatrix}4 & -1 \\ 1 & 3\end{pmatrix},\quad B = \begin{pmatrix}2 & 0 \\ 7 & -5\end{pmatrix}$.