ECZ 2024 · GCE Paper 2 · Question 4 — Matrices

Matrix B = 4x-1-3x.

(a) Solve the equation 7 - 2x2 = x, giving your answers correct to 2 decimal places.[5]

Verified working — step 1

7 - 2x2 = x

(b(i)) Find the value of x for which the determinant of B is 22.[2]

Verified working — step 1

B = 4x-1-3x

(b(ii)) Hence, find the inverse of B.[2]

Verified working — step 1

With x = -2, B = 4-2-16

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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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