ECZ 2021 · O-Level Paper 2 · Question 5 — Matrices

Question from ECZ 2021 · O-Level Paper 2 · Question 5

(a) Given that matrix P = 122-x,

(a(i)) find the value of x for which the determinant of P is -3,[2]

Verified working — step 1

det P = (1)(-x) - (2)(2) = -x - 4

(a(ii)) hence, find the inverse of P.[2]

Verified working — step 1

With x = -1: P = 1221 and det P = 1 - 4 = -3.

(b) Study the flowchart below. Write a pseudocode corresponding to the flowchart programme.[5]

Verified working — step 1

Translate each flowchart symbol into one pseudocode line:

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Original examination question © Examinations Council of Zambia. Worked solution and commentary © G12 Titan — not to be reproduced without permission.

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