ECZ 2016 · GCE Paper 2 · Question 2 — Matrices
Question from ECZ 2016 · GCE Paper 2 · Question 2
(a) Express 43r - 2 - 3r + 5 as a single fraction in its simplest form.[3]
Verified working — step 1
Common denominator (3r - 2)(r + 5).(b) Simplify 3a5c2 × 10c3/a2.[2]
Verified working — step 1
Multiply the numerators and the denominators.(c) Given that the determinant of matrix A = x - 2x21 is 4,
(c(i)) find the value of x,[2]
Verified working — step 1
A = x - 2x21.(c(ii)) write the inverse of the matrix A.[2]
Verified working — step 1
With x = -6, A = -8-621 and det A = 4.The full step-by-step working and final answer are included with Premium — checked against ECZ marking standards.
Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.
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