Matrices: past paper questions

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• Question 3May/June 2026, paper 11Structured9 marks

  The matrix $\mathbf{M}$ represents the sequence of two transformations in the $x$-$y$ plane given by a stretch parallel to the $x$-axis, scale factor $k$ ($k\mathrm{\ne }0,1$), followed by a shear, $x$-axis fixed, with $(0,1)$ mapped to $(2,1)$.

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• Question 1Oct/Nov 2024, paper 11Structured10 marks

  The matrix $\mathbf{M}$ represents the sequence of two transformations in the $x$-$y$ plane given by a stretch parallel to the $x$-axis, scale factor $k$ ($k\mathrm{\ne }0$), followed by a shear, $x$-axis fixed, with $(0,1)$ mapped to $(k,1)$.

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• Question 5Oct/Nov 2023, paper 11Structured15 marks

  Let $k$ be a constant.

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• Question 4Oct/Nov 2025, paper 12Structured10 marks

  Let $k$ and $m$ be non-zero constants.

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• Question 1May/June 2025, paper 13Structured11 marks

  The matrix $\mathbf{M}$ represents the sequence of two transformations in the $x$-$y$ plane given by a stretch parallel to the $x$-axis, scale factor 14, followed by a rotation anticlockwise about the origin through angle $\frac{1}{3}\pi$.

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