Paper 2 June 2024, Question 12 5 marks
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AQA A Level Further Maths
Topic questions Pure mathematics Inverse matrices
Inverse matrices
7 questions · 60 marks · about 1 hour
Inverse matrices questions
TopicInverse matrices▾
AQA 7367 Inverse matrices 7 questions
Paper 2 June 2024, Question 14 10 marks
The matrix M is defined as
where k is a constant.
(a)
[5]
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(b)
[1]
State any restrictions on the value of k
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(c)
[4]
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Paper 1 June 2023, Question 10 12 marks
The matrix M is defined as
where c is a real number.
(a)
[3]
The linear transformation T is represented by the matrix M
Show that, for one particular value of c, the image under T of every point lies in the plane
State the value of c for which this occurs.
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(b)
It is given that M is a non-singular matrix.
(b)(i)
[2]
State any restrictions on the value of c
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(b)(ii)
[4]
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(b)(iii)
[3]
Using your answer from part (b)(ii), solve
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Paper 2 June 2023, Question 8 6 marks
A is a non-singular 2 
2 matrix and AT is the transpose of A
(a)
[3]
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(b)
(b)(i)
[2]
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(b)(ii)
[1]
State the restriction on the possible values of k
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Paper 1 June 2022, Question 7 9 marks
The matrix M is defined as
where k is a constant.
(a)
(a)(i)
[5]
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(a)(ii)
[1]
State any restrictions on the value of k
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(b)
[3]
Using your answer to part (a)(i), solve
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Paper 1 November 2021, Question 12 14 marks
(a)
[6]
State any restrictions on the value of p.
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(b)
The equations below represent three planes.
(b)(i)
[4]
Find, in terms of p, the coordinates of the point of intersection of the three planes.
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(b)(ii)
[4]
In the case where p 
2, show that the planes are mutually perpendicular.
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Paper 1 June 2019, Question 7 4 marks
Three non-singular square matrices, A, B and R are such that
The matrix R represents a rotation about the z-axis through an angle 
and
(a)
[3]
Show that A is independent of the value of 
.
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(b)
[1]
Give a full description of the single transformation represented by the matrix A.
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