Mathematics Optional PYQs

Browse past year questions from 2015-2025. Practice them directly or unlock model solutions with Pro.

2023Paper IQ5(a)Linear Algebra
20 marks

Find the eigenvalues and eigenvectors of the matrix A = [2, 1; 1, 2]. Verify the Cayley-Hamilton theorem.

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2023Paper IQ5(b)Calculus
15 marks

Evaluate the double integral over the region bounded by y = x² and y = x.

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