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Inverse matrices

Edexcel IGCSE Maths

Topic questions Pure mathematics Inverse matrices

Inverse matrices

8 questions · 47 marks · about 50 minutes

Inverse matrices questions

Paper 1 June 2025, Question 21 6 marks

$Question 21, shown as an image$

(a)

Find matrix B, giving the elements of B in terms of p where appropriate.

Figure for question 21

[2]

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(b)

Find A maths symbol ¹

Figure for question 21

[2]

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(c)

Find AC

Figure for question 21

[2]

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Paper 1 June 2025 (R), Question 23 5 marks

23

$Question 23, shown as an image$

Given that the determinant of matrix B maths symbol ¹ is $fraction$

find matrix B^–1

Give the elements of this matrix as numbers.

Show all your working.

$Question 23, shown as an image$

[5]

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Paper 1 November 2024, Question 19 4 marks

$Question 19, shown as an image$

(a)

Find AB

$Question 19, shown as an image$

[2]

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(b)

Find C⁻¹

[2]

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Paper 2 June 2024 (R), Question 7 9 marks

$Question 7, shown as an image$

(a)

Find 4A maths symbol 2B

[2]

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(b)

Find AC

[3]

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$Question 7, shown as an image$

$Question 7, shown as an image$

$Question 7, shown as an image$

[4]

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Paper 1 June 2023, Question 25 6 marks

$Question 25, shown as an image$

Find

(a)

A maths symbol B

[2]

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(b)

5A + 2B

[2]

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(c)

B maths symbol ¹

[2]

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Paper 1 June 2023 (R), Question 25 7 marks

25

$Question 25, shown as an image$

(a)

Show that C is the inverse of A

[2]

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(b)(i)

AB = D

Find D

$Question 25, shown as an image$

[2]

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(b)(ii)

Show that BA = D

[1]

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(c)

Using part (a) and part (b), show that BC = CB

[2]

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Paper 1 January 2023 (R), Question 22 6 marks

22

$Question 22, shown as an image$

(a)

Figure for question 22

[2]

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(b)

find the value of x

[4]

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Paper 1 January 2019, Question 18 4 marks

$Question 18, shown as an image$

Find the matrix B.

Figure for question 18

[4]

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