ECZ 2012 · O-Level Paper 2 · Question 2 — Matrices

Question from ECZ 2012 · O-Level Paper 2 · Question 2

(a) Given that A = 23-15 and B = 23, find the

(a(i)) determinant of A,[1]

Verified working — step 1

A = 23-15.

(a(ii)) inverse of A,[1]

Verified working — step 1

With det A = …

(a(iii)) value of AB.[2]

Verified working — step 1

A is 2 × 2 and B is 2 × 1, so AB is 2 × 1.

(b) Express 42x - 1 - 3x - 1 as a single fraction in its simplest form.[3]

Verified working — step 1

Common denominator (2x - 1)(x - 1).

(c) Solve the inequation 4b - 3 < 6b + 4.[2]

Verified working — step 1

4b - 3 < 6b + 4

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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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