O-LevelAdditional MathematicsEquations, inequalities and graphs4037/21 · May/June 2015 · Q34 Marks

Find the matrix A if 4A +5 [4 0 -1; 3 -2 5] = [52 -8 19; 31 2 65].

(a)Find the matrix A if 4A +5 [4 0 -1; 3 -2 5] = [52 -8 19; 31 2 65].[2]
(b)(i)The matrix P represents the number of 4 different televisions that are on sale in each of 3 shops. The matrix Q represents the value of each television in dollars. P = [30 25 65; 70 15 80; 50 40 30; 40 20 75] Q = (650 500 450 225) State, without evaluation, what is represented by the matrix QP.[1]
(b)(ii)Given that the matrix R = [1; 1; 1], state, without evaluation, what is represented by the matrix QPR.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2015). The mark or mark type is shown in brackets.

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Topic: Equations, inequalities and graphs, O-Level Additional Mathematics (syllabus 4037). Structured question, 4 marks.
Source: O-Level Additional Mathematics, May/June 2015 Paper 2 Variant 1, question 3.

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