ECZ 2024 · GCE Paper 2 · Question 4 — Matrices
Question from ECZ 2024 · GCE Paper 2 · Question 4
(a) Solve the equation 7 - 2x2 = x, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange to standard form: 2x2 + x - 7 = 0, so a = 2, b = 1, c = -7.(b) Given that matrix B = 4x-1-3x,
(b(i)) find the value of x for which the determinant of B is 22,[2]
Verified working — step 1
det B = (4)(-3x) - (x)(-1) = -12x + x = -11x(b(ii)) hence, find the inverse of B.[2]
Verified working — step 1
With x = -2: B = 4-2-16 and det B = 22.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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