ZIMSEC A-Level Pure Mathematics
6.1.6Matrices
Matrices in ZIMSEC A-Level Pure Mathematics: what the syllabus expects you to know, the learning objectives and how to practise.
Subtopic40 practice questions2 lessons
Learning objectives
What the syllabus expects you to be able to do.
- 6.1.6.1Form 6: identify null, identity, singular and non-singular matrices and carry out basic operations on matrices.
- 6.1.6.2Form 6: calculate the determinant of a square matrix (up to 3 × 3) and the inverse of a non-singular 3 × 3 matrix.
- 6.1.6.3Form 6: apply the result (AB)⁻¹ = B⁻¹A⁻¹ for non-singular matrices.
- 6.1.6.4Form 6: solve simultaneous equations in two or three unknowns by writing them as a matrix equation AX = b.
- 6.1.6.5Form 6: construct 2 × 2 matrices for enlargements, rotations, reflections, stretches and shears, and use composite transformations AB and Aⁿ.
- 6.1.6.6Form 6: derive the relationship between the area scale factor of a transformation and the determinant of its matrix.
Lessons
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Matrices and transformations of the plane
50 min
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Matrices: operations, determinants, inverses and linear systems
50 min
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Sample question
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