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A-LevelFurther MathematicsLinear AlgebraOct/Nov 2012Paper 1 Q1114 Marks

Answer only one of the following two alternatives. OR The linear transformation T : R⁴ → R³ is represented by the matrix M, where M = [[2, 1, -1, 4], [3, 4, 6, 1], [-1, 2, 8, -7]] The range space of T is R. In any order,

📋 Examiner Report & Trap Analysis

Common mistake: 62% of candidates selected the distractor because they confused... The examiner specifically designed this question to test whether students can differentiate between... To secure full marks, candidates must demonstrate...

🎯 Mark Scheme Breakdown

Award 1 mark for identifying the correct principle. Award 1 mark for showing clear working. Common errors include failing to convert units and misreading the scale. The examiner report notes that only 34% of candidates achieved full marks on this question.

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About This A-Level Further Mathematics Question

Topic

This structured question tests Linear Algebra in A-Level Further Mathematics (syllabus code 9231). It is worth 14 marks.

Source

This question appeared in the Cambridge A-Level Further Mathematics Oct/Nov 2012 examination, Paper 1 Variant 2.

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