Unit 1: Number and Algebra
Topic 1.14: Matrices (HL only) Questions
Practice 12 exam-style questions for IB Math AI SL Topic 1.14. Review the question stems below, then unlock the full Question Bank to access markschemes, model answers, and AI grading.
1Find2 marks
2026
Given P = ((3, −1), (2, 4)) and Q = ((5, 0), (1, 6)), find P + Q and 3P.
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2026
For a 2×2 matrix A, AI (where I is the 2×2 identity) equals:
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2026
A factory's output (rows = products, columns = machines) is M = ((20, 15), (8, 12)). Each unit's profit is fixed, so next quarter output is forecast as 1.5M. Find 1.5M.
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2026
Find the determinant of A = ((6, 4), (3, 5)), and state whether A has an inverse.
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2026
Let A = ((1, 2), (3, 0)) and B = ((4, 1), (2, 5)). Find the product AB.
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2026
Find the inverse of A = ((2, 3), (1, 4)).
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2026
The product of a (3×2) matrix and a (2×2) matrix has order:
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2026
A transformation moves a point by A = ((2, 0), (0, 5)). Find A⁻¹ and explain, in context, what applying A⁻¹ does to a transformed point.
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