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.
Put it together.
Choose a paper and show your working.
Matrices and transformations — Practice test 1
Foundations and fluency: Build from notation and arithmetic to transformations, singularity and an affine model.
10 questions · 61 marks · 70 minutes · By handMatrices and transformations — Practice test 2
Geometry and matrix models: Use matrices for cost changes, geometric mappings, projection, rotations and output constraints.
10 questions · 62 marks · 70 minutes · By handMatrices and transformations — Practice test 3
Inverses and design: Choose correct inverse operations and interpret constraints, areas and whole-item resource solutions.
10 questions · 61 marks · 70 minutes · By handMatrices and transformations — Practice test 4
Reasoning and proof: Explain matrix claims with proofs, counterexamples and careful dimension checks.
10 questions · 63 marks · 70 minutes · By handMatrices and transformations — Practice test 5
Mixed applications: Connect resources, sensor readings, calibration, affine geometry and matrix equations.
10 questions · 63 marks · 70 minutes · By hand
Curriculum reference & lesson scope
SACE Board of South Australia
Stage 1 Mathematics: matrices and transformations; original lessons follow the approved school-sized chapter structure.
Official curriculum source ↗