ECZ 2015 · GCE Paper 2 · Question 2 — Matrices

Question from ECZ 2015 · GCE Paper 2 · Question 2

(a) Given that B = 0-22-8, find

(a(i)) (-32)B,[1]

Verified working — step 1

Multiply EVERY element of B by -32.

(a(ii)) the determinant of B,[1]

Verified working — step 1

B = 0-22-8.

(a(iii)) B2.[2]

Verified working — step 1

B2 means B multiplied by B, row into column.

(b) Solve the equation m2 - m - 5 = 0, giving your answer correct to 2 decimal places.[5]

Verified working — step 1

a = 1, b = -1, c = -5.

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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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