ECZ 2022 · GCE Paper 2 · Question 4 — Matrices
Question from ECZ 2022 · GCE Paper 2 · Question 4
(a) Given that matrix N = x22x6,
(a(i)) find the value of x for which the determinant of N is 8,[2]
Verified working — step 1
det N = (x)(6) - (2)(2x) = 6x - 4x = 2x(a(ii)) hence or otherwise, write N-1.[2]
Verified working — step 1
With x = 4: N = 4286 and det N = 8.(b) Solve the equation 5x2 - 9x - 4 = 0, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Use the formula with a = 5, b = -9, c = -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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