ECZ 2022 · GCE Paper 2 · Question 4 — Matrices

Matrix N = x22x6.

(a(i)) Find the value of x for which the determinant of N is 8.[2]

Verified working — step 1

N = x22x6

(a(ii)) Hence or otherwise, write N-1.[2]

Verified working — step 1

With x = 4: N = 4286, det(N) = 8

(b) Solve the equation 5x2 - 9x - 4 = 0, giving your answers correct to 2 decimal places.[5]

Verified working — step 1

5x2 - 9x - 4 = 0

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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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