ECZ 2025 · GCE Paper 2 · Question 3 — Matrices
Question from ECZ 2025 · GCE Paper 2 · Question 3
(a) Given that matrix P = 4-211, find the
(a(i)) determinant of matrix P,[2]
Verified working — step 1
The determinant of matri…(a(ii)) inverse of matrix P.[2]
Verified working — step 1
For abcd the inverse is (1det) d-b-ca.(b) A box contains 6 white circuit breakers and 4 black circuit breakers, all identical in appearance. A circuit breaker is selected at random from the box and not replaced. A second circuit breaker is then selected. Find the probability that both circuit breakers selected are
(b(i)) white,[2]
Verified working — step 1
10 breakers in the box: 6 white and 4 black, drawn WITHOUT replacement.(b(ii)) of different colours.[3]
Verified working — step 1
"Different colours" happens two ways: white then black, or black then white.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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