Matrices and transformations — Topic Review | Year 11

QUICK RECAP

Connect the ideas

Check dimensions before adding or multiplying matrices.

Use row-column products and preserve multiplication order.

A non-zero determinant gives an inverse; zero determinant means information is lost.

Columns of a transformation matrix are the images of the coordinate unit vectors.

Compose transformations from right to left; area is multiplied by the absolute determinant.

Complete each paper and show your working.

Matrices and transformations — Practice test 1
10 questions · 61 marks · 70 minutes · By hand
Foundations and fluency: Build from notation and arithmetic to transformations, singularity and an affine model.
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Matrices and transformations — Practice test 2
10 questions · 62 marks · 70 minutes · By hand
Geometry and matrix models: Use matrices for cost changes, geometric mappings, projection, rotations and output constraints.
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Matrices and transformations — Practice test 3
10 questions · 61 marks · 70 minutes · By hand
Inverses and design: Choose correct inverse operations and interpret constraints, areas and whole-item resource solutions.
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Matrices and transformations — Practice test 4
10 questions · 63 marks · 70 minutes · By hand
Reasoning and proof: Explain matrix claims with proofs, counterexamples and careful dimension checks.
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Matrices and transformations — Practice test 5
10 questions · 63 marks · 70 minutes · By hand
Mixed applications: Connect resources, sensor readings, calibration, affine geometry and matrix equations.
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