◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsSimultaneous equations4037/12 · Oct/Nov 2012 · Q25 Marks

Find the inverse of the matrix (2 -1 -1 1.5).

  1. (i)Find the inverse of the matrix (2 -1 -1 1.5).[2]
  2. (ii)Hence find the matrix A such that (2 -1 -1 1.5) A = (1 6 -0.5 4).[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2012). The mark or mark type is shown in brackets.

  1. [B1] B1 for reciprocal of determinant
  2. [B1] B1 for matrix
  3. [M1] M1 for correct use of inverse matrix – must be using pre-multiplication with their inverse, must see an attempt to multiply out.
  4. [A2,1,0] -1 each error

Write your answer and get it marked

On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.

Sign up free →

About this question

Topic
Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, Oct/Nov 2012 Paper 1 Variant 2, question 2.

Questions and mark schemes are from past examination papers and remain the copyright of the exam board. How Oracle Prep builds its content

Related Additional Mathematics questions

Simultaneous equationsMay/June 20125m

In a competition the contestants search for hidden targets which are classed as difficult, medium or easy. In the fir…

Simultaneous equationsMay/June 20131m

Given that A = [[2, -1], [3, 5]], find the determinant of A.

Simultaneous equationsMay/June 20131m

Given that A = [[2, -1], [3, 5]], find the adjoint matrix of A.

Differentiation and integrationMay/June 20129m

Variables x and y are such that y = e^(2x) + e^(-2x).

Differentiation and integrationMay/June 20125m

Find ∫√7x-5 dx.

Logarithmic and exponential functionsMay/June 20125m

Using the substitution u = 2ˣ, find the values of x such that 2²ˣ⁺² = 5 (2ˣ) – 1 .

← Browse all past-paper questions

© 2026 Oracle Prep