ECZ 2016 · GCE Paper 2 · Question 2 — Matrices
Matrix A = x-2x21.
(a) Express 43r - 2- 3r + 5as a single fraction in its simplest form.[3]
Verified working — step 1
Common denominator (3r−2)(r+5):(b) Simplify 3a5c^2× 10c3/a2.[2]
Verified working — step 1
3a5c^2× 10c3/a2 = 30ac3 / (5a2c2)(c(i)) Given that the determinant of matrix A is 4, find the value of x.[2]
Verified working — step 1
det A = (x−2)(1) − (x)(2) = …(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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