ECZ 2018 · GCE Paper 2 · Question 1 — Matrices

Question from ECZ 2018 · GCE Paper 2 · Question 1

(a) Given that matrix A = 2x23x,

(a(i)) find the positive value of x for which the determinant of A is 12,[2]

Verified working — step 1

A = 2x23x.

(a(ii)) hence or otherwise, write A-1.[2]

Verified working — step 1

With x = 3, A = 6233 and det A = 12.

(b) Solve the equation x2 - 4x - 2 = 0, giving your answers correct to 2 decimal places.[5]

Verified working — step 1

a = 1, b = -4, c = -2.

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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