Mathematics 4024 · O Level · Algebraic manipulation

Algebraic manipulation — practice question

Here $A = \begin{pmatrix}3 & 1 \\ -2 & 0\end{pmatrix}$ while $B = \begin{pmatrix}-2 & 1 \\ 3 & 0\end{pmatrix}$.
(a)[2]

Evaluate the expression $2A - B$.

(b)[2]

Find the inverse matrix $A^{-1}$.

(c)[2]

Find the matrix $X$ for which $AX = \begin{pmatrix}3 \\ -4\end{pmatrix}$.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: “The matrix is $\begin{pmatrix}8&1\\-7&0\end{pmatrix}$.” …

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI