# WFM03 Further matrix algebra Topic Questions

> Edexcel IAL WFM03: every Further matrix algebra topic question from 20 papers (2014–2026), grouped by syllabus point. 77 questions, 265 marks, with direct…

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Edexcel IAL · Mathematics · WFM03 · A Level

Every WFM03 Further matrix algebra topic question from the 2014–current syllabus, drawn from 20 papers (2014–2026) and grouped by syllabus point. Each row opens a page listing the exact question numbers, marks and a direct link into the paper. These are questions by topic, not full papers, so you can revise one topic at a time.

- WFM03
- 8 subtopics
- 77 topic questions
- 20 papers
- 265 tagged marks
- [Back to Further matrix algebra](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/)
- [All paper codes](https://www.examsci.com/topics/)

Core finding

**6.7 Eigenvalues and eigenvectors of … and … matrices. is the most frequently assessed subtopic in Further matrix algebra, with 40 topic questions and 130 marks across 15 papers.** 6.4 Evaluation of … determinants. follows with 25 topic questions and 90 marks. The topic contains 8 subtopics, 77 topic questions and 265 marks in total. Rows count only the parts tagged to that subtopic, keep the same colour in both charts and repeat paper count, tagged marks and year range in the native table.

## Topic question count and mark distribution

Subtopics are on the vertical axis and sorted from highest to lowest. Only the parts whose knowledge graph matches a subtopic are counted for it, and percentages are each row's share of the tagged total in that chart. A part tagged to several subtopics is counted in each bar, so the bars are not a partition of the topic total.

### Questions by subtopic

question items

- [6.7 Eigenvalues and eigenvectors of $2 \times 2$ and $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-7-eigenvalues-and-eigenvectors-of-2-times-2-and-3-times-3-matrices/) (15 papers) — 40 · 35.4%
- [6.4 Evaluation of $3 \times 3$ determinants.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-4-evaluation-of-3-times-3-determinants/) (18 papers) — 25 · 22.1%
- [6.5 Inverse of $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-5-inverse-of-3-times-3-matrices/) (13 papers) — 16 · 14.2%
- [6.1 Linear transformations of column vectors in two and three dimensions and their matrix representation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-1-linear-transformations-of-column-vectors-in-two-and-three-dimensions-and-their/) (11 papers) — 12 · 10.6%
- [6.6 The inverse (when it exists) of a given transformation or combination of transformations.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-6-the-inverse-when-it-exists-of-a-given-transformation-or-combination-of/) (6 papers) — 6 · 5.3%
- [6.2 Combination of transformations. Products of matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-2-combination-of-transformations-products-of-matrices/) (4 papers) — 5 · 4.4%
- [6.8 Reduction of symmetric matrices to diagonal form.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-8-reduction-of-symmetric-matrices-to-diagonal-form/) (5 papers) — 5 · 4.4%
- [6.3 Transpose of a matrix.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-3-transpose-of-a-matrix/) (3 papers) — 4 · 3.5%

### Marks by subtopic

marks

- [6.7 Eigenvalues and eigenvectors of $2 \times 2$ and $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-7-eigenvalues-and-eigenvectors-of-2-times-2-and-3-times-3-matrices/) (15 papers) — 130 · 32.3%
- [6.4 Evaluation of $3 \times 3$ determinants.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-4-evaluation-of-3-times-3-determinants/) (18 papers) — 90 · 22.3%
- [6.5 Inverse of $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-5-inverse-of-3-times-3-matrices/) (13 papers) — 66 · 16.4%
- [6.1 Linear transformations of column vectors in two and three dimensions and their matrix representation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-1-linear-transformations-of-column-vectors-in-two-and-three-dimensions-and-their/) (11 papers) — 49 · 12.2%
- [6.6 The inverse (when it exists) of a given transformation or combination of transformations.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-6-the-inverse-when-it-exists-of-a-given-transformation-or-combination-of/) (6 papers) — 26 · 6.5%
- [6.8 Reduction of symmetric matrices to diagonal form.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-8-reduction-of-symmetric-matrices-to-diagonal-form/) (5 papers) — 17 · 4.2%
- [6.2 Combination of transformations. Products of matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-2-combination-of-transformations-products-of-matrices/) (4 papers) — 16 · 4.0%
- [6.3 Transpose of a matrix.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-3-transpose-of-a-matrix/) (3 papers) — 9 · 2.2%

## Subtopic comparison matrix

Curriculum order is by syllabus number, then alphabetically. Every row links to the matching past-paper question list.

| Subtopic | Topic questions | Papers | Marks | Years | |
| --- | --- | --- | --- | --- | --- |
| **[6.1 Linear transformations of column vectors in two and three dimensions and their matrix representation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-1-linear-transformations-of-column-vectors-in-two-and-three-dimensions-and-their/)** | 12 | 11 | 49 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-1-linear-transformations-of-column-vectors-in-two-and-three-dimensions-and-their/) |
| **[6.2 Combination of transformations. Products of matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-2-combination-of-transformations-products-of-matrices/)** | 5 | 4 | 16 | 2016–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-2-combination-of-transformations-products-of-matrices/) |
| **[6.3 Transpose of a matrix.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-3-transpose-of-a-matrix/)** | 4 | 3 | 9 | 2017–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-3-transpose-of-a-matrix/) |
| **[6.4 Evaluation of $3 \times 3$ determinants.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-4-evaluation-of-3-times-3-determinants/)** | 25 | 18 | 90 | 2015–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-4-evaluation-of-3-times-3-determinants/) |
| **[6.5 Inverse of $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-5-inverse-of-3-times-3-matrices/)** | 16 | 13 | 66 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-5-inverse-of-3-times-3-matrices/) |
| **[6.6 The inverse (when it exists) of a given transformation or combination of transformations.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-6-the-inverse-when-it-exists-of-a-given-transformation-or-combination-of/)** | 6 | 6 | 26 | 2014–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-6-the-inverse-when-it-exists-of-a-given-transformation-or-combination-of/) |
| **[6.7 Eigenvalues and eigenvectors of $2 \times 2$ and $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-7-eigenvalues-and-eigenvectors-of-2-times-2-and-3-times-3-matrices/)** | 40 | 15 | 130 | 2015–2026 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-7-eigenvalues-and-eigenvectors-of-2-times-2-and-3-times-3-matrices/) |
| **[6.8 Reduction of symmetric matrices to diagonal form.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-8-reduction-of-symmetric-matrices-to-diagonal-form/)** | 5 | 5 | 17 | 2018–2025 | [Open topic questions](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-8-reduction-of-symmetric-matrices-to-diagonal-form/) |

## Browse every topic question

- [6.1 Linear transformations of column vectors in two and three dimensions and their matrix representation.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-1-linear-transformations-of-column-vectors-in-two-and-three-dimensions-and-their/) — 12 question items · 11 papers — 49 marks · 2014–2026
- [6.2 Combination of transformations. Products of matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-2-combination-of-transformations-products-of-matrices/) — 5 question items · 4 papers — 16 marks · 2016–2026
- [6.3 Transpose of a matrix.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-3-transpose-of-a-matrix/) — 4 question items · 3 papers — 9 marks · 2017–2026
- [6.4 Evaluation of $3 \times 3$ determinants.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-4-evaluation-of-3-times-3-determinants/) — 25 question items · 18 papers — 90 marks · 2015–2026
- [6.5 Inverse of $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-5-inverse-of-3-times-3-matrices/) — 16 question items · 13 papers — 66 marks · 2014–2026
- [6.6 The inverse (when it exists) of a given transformation or combination of transformations.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-6-the-inverse-when-it-exists-of-a-given-transformation-or-combination-of/) — 6 question items · 6 papers — 26 marks · 2014–2026
- [6.7 Eigenvalues and eigenvectors of $2 \times 2$ and $3 \times 3$ matrices.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-7-eigenvalues-and-eigenvectors-of-2-times-2-and-3-times-3-matrices/) — 40 question items · 15 papers — 130 marks · 2015–2026
- [6.8 Reduction of symmetric matrices to diagonal form.](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-matrix-algebra/6-8-reduction-of-symmetric-matrices-to-diagonal-form/) — 5 question items · 5 papers — 17 marks · 2018–2025

## Other topics in WFM03

- [Differentiation 36 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/differentiation/)
- [Further coordinate systems 79 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/further-coordinate-systems/)
- [Hyperbolic functions 46 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/hyperbolic-functions/)
- [Integration 115 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/integration/)
- [Vectors 72 question items](https://www.examsci.com/topics/edexcel-ial/mathematics/further-pure-mathematics-3-wfm03/vectors/)

## Topic question rules and edge cases

**How many subtopics does Further matrix algebra contain?**

This page lists 8 subtopics tagged to the current syllabus. They are ordered by syllabus number, then alphabetically, and each row opens a page of matching past-paper questions.

**How are the subtopic question and mark totals calculated?**

A multiple-choice question contributes one item and its marks to every subtopic it is tagged with. A structured question contributes one item per tagged part, and that part’s marks; untagged parts of the same question are not counted here. A part tagged to several subtopics therefore appears under each of them.

**Why do some subtopics have no numbered prefix?**

Practical-skills statements and some syllabus bullets are unnumbered. Numbered statements come first; unnumbered statements and ties are sorted alphabetically.

**Is the LaTeX rendered without JavaScript?**

Yes. Subtopics that contain formulas are converted to static KaTeX HTML during the build, and the KaTeX stylesheet is served from the same site.

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