ECZ 2020 · GCE Paper 2 · Question 1 — Matrices
Matrix A = 74p95p. Mutola and Mwambi were to be selected as members of a netball team. The probability of selecting Mutola is 78and that of selecting Mwambi is 910.
(a(i)) Find the value of p for which the determinant of A is -2.[2]
Verified working — step 1
det(A) = 7(5p) - (4p)(9) = 35p - 36p = -p(a(ii)) Hence, find the inverse of A.[2]
Verified working — step 1
With p = 2, A = 78910, det(A) = …(b(i)) Find the probability that only one of them is selected.[3]
Verified working — step 1
P(Mutola)=78, P(Mwambi)=910(b(ii)) Find the probability that none of them is selected.[2]
Verified working — step 1
P(none selected) = P(not M) x P(not W) = (18)(110) = …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.
Have a different question?
Search it — if it is from a past paper or a school mock, chances are we have it worked out, or one that uses the same method.
Search any past-paper question