◈ Oracle PrepSign Up Free
O-LevelAdditional MathematicsEquations, inequalities and graphs4037/22 · May/June 2011 · Q35 Marks

Given that A = (2 1 / -2 5)

  1. (i)find the inverse of the matrix A + I, where I is the identity matrix.[3]
  2. (ii)Hence, or otherwise, find the matrix X such that AX + X = B, where B = (14 / 4).[2]

Mark scheme

Marking points from the official mark scheme (May/June 2011). The mark or mark type is shown in brackets.

  1. [1] (i) A + I = (3 1 / -2 6)
  2. [2] (i) (A+I)^-1 = 1/20 * (6 -1 / 2 3)
  3. [1] (ii) X = (A + I)^-1 * B evaluated to matrix with 2 entries
  4. [1] (ii) X = (4 / 2)

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
Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source
O-Level Additional Mathematics, May/June 2011 Paper 2 Variant 2, question 3.

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

Equations, inequalities and graphsMay/June 20173m

Solve |5x + 3| = |1 - 3x|.

Equations, inequalities and graphsMay/June 20187m

A = \( \begin{pmatrix} 2 & -1 \\ 1 & -3 \end{pmatrix} \) and B = \( \begin{pmatrix} 0 & -2 \\ 3 & -5 \end{pmatrix} \)…

Equations, inequalities and graphsMay/June 20196m

State the order of the matrix `(0 1 4 8; 5 8 1 6)`.

Simultaneous equationsMay/June 20179m

The curve 3x² + xy - y² + 4y – 3 = 0 and the line y = 2(1 – x) intersect at the points A and B.

TrigonometryMay/June 20178m

Prove that sinx(cotx + tanx) = secx.

Differentiation and integrationMay/June 20179m

A particle moves in a straight line so that, t seconds after passing a fixed point O, its displacement, sm, from O is…

← Browse all past-paper questions

© 2026 Oracle Prep