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Date May Example question Marks available 6 Reference code EXM.1.AHL.TZ0.28
Level Additional Higher Level Paper Paper 1 Time zone Time zone 0
Command term Find Question number 28 Adapted from N/A

Question

Consider the matrix =(exex2+ex1), where xR.

Find the value of x for which A is singular.

Markscheme

finding det A exex(2+ex) or equivalent         A1

A is singular ⇒ det A = 0         (R1)

exex(2+ex)=0

e2xex2=0         A1

solving for ex         (M1)

ex > 0  (or equivalent explanation)         (R1)

ex=2

x= ln 2  (only)         A1   N0

[6 marks]

Examiners report

[N/A]

Syllabus sections

Topic 1—Number and algebra » AHL 1.14—Introduction to matrices
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Topic 1—Number and algebra

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