ECZ 2020 · GCE Paper 2 · Question 1 — Matrices
Question from ECZ 2020 · GCE Paper 2 · Question 1
(a) Given that matrix A = 74p95p,
(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 and det A = -2.(b) Mutola and Mwambi were to be selected as members of a netball team. The probability of selecting Mutola is 78 and that of selecting Mwambi is 910. Find the probability that
(b(i)) only one of them is selected,[3]
Verified working — step 1
"Only one selected" is Mutola-yes-Mwambi-no or Mutola-no-Mwambi-yes:(b(ii)) none of them is selected.[2]
Verified working — step 1
"None selected" is Mutola-not …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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