ECZ 2014 · O-Level Paper 1 — Matrices
Given that P = 3-1-20 and Q = 34-4x, find the value of x if P and Q have equal determinants.
- A. 6
- B. −163
- C. 143
- D. −6
Verified working — step 1
det P = 3 × 0 − -1 × -2 = 0 − 2 = −2. det Q = 3x − 4 × -4 = 3x + 16. Setting 3x + 16 = −2 gives 3x = −18, so x = …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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