plumi3x3 matrices and simultaneous equations: WJEC A‑Level Further Maths questions
Every WJEC A-Level Further Maths exam question on 4.3 3x3 matrices and simultaneous equations, 2018–2025, with its mark scheme and examiner’s report.
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All 7 questions on 3x3 matrices and simultaneous equations, as a list
- Summer 2025, Unit 4, Q4 (12 marks): 4. The matrix M is given by 3 0 4 . M 3 2 1 2 0 7 (a) Find the inverse of M. [5] (b) The matrices A, B, C are such that 1 4 p 1 p 25 6
- Summer 2024, Unit 4, Q6 (8 marks): The matrix M is defined by 6. 12 30 8 M 18 25 20 . 19 50 16 M 1040 det (a) Given that , give a geometrical interpretation of the solutio
- Summer 2023, Unit 4, Q2 (7 marks): ⎛ λ 1 14 ⎞ The matrix A is given by A = , where λ is a real constant. –1 2 8 2. ⎝⎜ ⎠⎟ –3 2 λ Find an expression for the determinant of A in terms of λ. Give you
- Summer 2023, Unit 4, Q4 (5 marks): 4. Solve the simultaneous equations 4x – 2y + 3z = 8, 2x – 3y + 8z = –1, 2x + 4y – z = 0. [5]
- Summer 2022, Unit 4, Q5 (5 marks): 5. (a) Determine the number of solutions of the equations x + 2y = 3, 2x – 5y + 3z = 8, 6y – 2z = 0. [4] (b) Give a geometric interpretation of your answer in p
- Summer 2022, Unit 4, Q10 (9 marks): 10. The matrix A is defined by 4 8 0 ⎛ ⎞ ⎜ ⎟ A = 0 λ 2 . − ⎜ ⎟ λ ⎝ 4 0 ⎠ Show that there are two values of λ for which A is singular. (a) [4] Given that λ = 3,
- Summer 2019, Unit 4, Q3 (8 marks): Determine whether or not the following set of equations 3. (a) − 7 ⎛ 2 2 ⎞ ⎛ x ⎞ ⎛ a ⎞ ⎜ ⎟ ⎜ ⎟ ⎜ ⎟ − 2 ⎟ = 0 3 y b ⎜ ⎟ ⎜ ⎜ ⎟ ⎝ −7 ⎠ ⎝ ⎠ ⎝ ⎠ 8 4 z c has a unique
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