AHL 1.14 (HL)—Matrices Topic Practice
AHL 1.14 (HL)—Matrices Topic Practice
Students practise using matrices to represent linear transformations, compute products and inverses, and solve systems via matrix equations.
How this is tested
- apply compound transformation matrices left-to-right: C = M₂(M₁A) ⇒ A = M₁⁻¹M₂⁻¹C
- recognise Fibonacci recurrence via matrix power: (fₙ₊₁, fₙ)ᵀ = [[1,1],[1,0]](fₙ, fₙ₋₁)ᵀ
- compute rotation matrix powers, e.g., R(α) × R(α) = R(2α), verified by trigonometric identities