ECZ 2013 · O-Level Paper 2 · Question 3 — Matrices
Question from ECZ 2013 · O-Level Paper 2 · Question 3
(a) Solve the equation x2 + 6x = -2, giving your answers correct to 2 decimal places.[5]
Verified working — step 1
Rearrange to standard form: x2 + 6x + 2 = 0, so a = 1, b = 6, c = 2.(b) Given that A = 22-1, P = -1-14220 and Q = 2-141, find
(b(i)) -2P,[1]
Verified working — step 1
Multiply every entry of P by -2.(b(ii)) the determinant of Q,[1]
Verified working — step 1
Q = 2-141.(b(iii)) AP.[2]
Verified working — step 1
A is 1 × 3 and P is 3 × 2, so AP is 1 × 2.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